12th Standard Maths English Medium - Applications of Vector Algebra 1 Mark Creative Question Paper and Answer Key 2022 - 2023 | QB365

12th Standard Syllabus & Materials

12th Standard

TN 12th Computer Applications மின்னணு தரவு பரிமாற்றம் Sample Question Papers Study Material - QB365 Set A

NEW

12th Standard

TN 12th Computer Applications மின் - வணிக பாதுகாப்பு அமைப்புகள் Sample Question Papers Study Material - QB365 Set A

NEW

12th Standard

TN 12th Computer Applications மின்னணு செலுத்தல் முறைகள் Sample Question Papers Study Material - QB365 Set A

NEW

12th Standard

TN 12th Computer Applications மின் - வணிகம் Sample Question Papers Study Material - QB365 Set A

NEW

12th Standard

TN 12th Computer Applications திறந்த மூல கருத்துருக்கள் Sample Question Papers Study Material - QB365 Set A

NEW

12th Standard

TN 12th Computer Applications வலையமைப்பு வடமிடல் Sample Question Papers Study Material - QB365 Set A

12th Standard Maths English Medium - Applications of Vector Algebra 1 Mark Creative Question Paper and Answer Key 2022 - 2023

Published on: 02/09/2022

QB365 provides a detailed and simple solution for every Possible Creative Questions in Class 12 Maths Subject - Applications of Vector Algebra, English Medium. It will help Students to get more practice questions, Students can Practice these question papers in addition to score best marks.

Download Tamil Nadu 12th Standard Maths question papers, model tests, one-mark questions, important questions, and public exam papers in PDF format. Free study materials and answer keys for TN State Board students.

Questions + Answers key

Take MCQ Maths Test

QB365 Student Learing Managemnet System

Std: 12th Standard - Maths

chapter: - Model Question paper

Visit QB365-SLMS - https://www.qb365.in/slms/ Complete Questions and Answers

Questions:

Multiple Choice Question

15 x 1 = 15

If the work done by a force \(\overset { \rightarrow }{ F } =\overset { \wedge }{ i } +m\overset { \wedge }{ j } -\overset { \wedge }{ k } \) in moving the point of application from(1, 1, 1) to (3, 3, 3) along a straight line is 12 units, then m is _____________

(a)

(b)

(c)

(d)

If \(\overset { \rightarrow }{ p } \times \overset { \rightarrow }{ q } =2\overset { \wedge }{ i } +3\overset { \wedge }{ j } \), \(\overset { \rightarrow }{ r } \times \overset { \rightarrow }{ s } =3\overset { \wedge }{ i } +2\overset { \wedge }{ k } \) then \(\overset { \rightarrow }{ p } .\left( \overset { \rightarrow }{ q } \left( \overset { \rightarrow }{ r } \times \overset { \rightarrow }{ s } \right) \right) \) is _____________

(a)

(b)

(c)

(d)

The value of \({ \left| \overset { \rightarrow }{ a } +\overset { \rightarrow }{ b } \right| }^{ 2 }+{ \left| \overset { \rightarrow }{ a } -\overset { \rightarrow }{ b } \right| }^{ 2 }\) is _____________

(a)

\(2\left( { \left| \overset { \rightarrow }{ a } \right| }^{ 2 }+{ \left| \overset { \rightarrow }{ b } \right| }^{ 2 } \right) \)

(b)

4 \(\overset { \rightarrow }{ a } .\overset { \rightarrow }{ b } \)

(c)

\(2\left( { \left| \overset { \rightarrow }{ a } \right| }^{ 2 }-{ \left| \overset { \rightarrow }{ b } \right| }^{ 2 } \right) \)

(d)

4 \({ \left| \overset { \rightarrow }{ a } \right| }^{ 2 }{ \left| \overset { \rightarrow }{ b } \right| }^{ 2 }\)

If \(\overset { \rightarrow }{ a } =\left| \overset { \rightarrow }{ a } \right| \overset { \rightarrow }{ e } \) then \(\overset { \rightarrow }{ e } .\overset { \rightarrow }{ e } \) is _____________

(a)

(b)

(c)

(d)

\(\overset { \rightarrow }{ 0 } \)

If the vector \(\overset { \wedge }{ i } +\overset { \wedge }{ j } +\overset { \wedge }{ 2k } \), \(\overset { \wedge }{ -i } +\overset { \wedge }{ 2k } \) and \(2\overset { \wedge }{ i } +x\overset { \wedge }{ j } -y\overset { \wedge }{ k } \) are mutually orthogonal, then the values of x, y, z are _________

(a)

(10, 4, 1)

(b)

(-10, 4, 1)

(c)

(-10, -4, \(\frac { 1 }{ 2 } \))

(d)

(-10, 4, \(\frac { 1 }{ 2 } \))

If θ is the angle between the vectors \(\overset { \rightarrow }{ a } \) and \(\overset { \rightarrow}{b} \), then sin θ is ___________

(a)

\(\frac { \overset { \rightarrow }{ a } .\overset { \rightarrow }{ b } }{ \left| \overset { \rightarrow }{ a } \right| \left| \overset { \rightarrow }{ b } \right| } \)

(b)

\(\frac { \left| \overset { \rightarrow }{ a } \times \overset { \rightarrow }{ b } \right| }{ \overset { \rightarrow }{ a } .\overset { \rightarrow }{ b } } \)

(c)

\(\sqrt { 1-{ \left( \frac { \overset { \rightarrow }{ a. } \overset { \rightarrow }{ b } }{ \left| \overset { \rightarrow }{ a } \right| \left| \overset { \rightarrow }{ b } \right| } \right) }^{ 2 } } \)

(d)

If \(\overset { \rightarrow }{ a } =\overset { \wedge }{ i } +\overset { \wedge }{ 2j } +\overset { \wedge }{ 3k } \), \(\overset { \rightarrow }{ b } =-\overset { \wedge }{ i } +\overset { \wedge }{ 2j } +\overset { \wedge }{ k } \), \(\overset { \rightarrow }{ c } =3\overset { \wedge }{ i } +\overset { \wedge }{ j } \) then \(\overset { \rightarrow }{ a } +\left( -\overset { \rightarrow }{ b } \right) \) will be perpendiculur to \(\overset { \rightarrow }{ c } \) only when t = _________________

(a)

(b)

(c)

(d)

\(\frac { 7 }{ 3 } \)

The p.v, OP of a point P make angles 60^o and 45^owith X and Y axis respectively. The angle of inclination of \(\overset { \rightarrow }{ OP } \) with z-axis is ___________

(a)

75^o

(b)

60^o

(c)

45^o

(d)

The angle between the vector \(3\overset { \wedge }{ i } +4\overset { \wedge }{ j } +\overset { \wedge }{ 5k } \) and the z-axis is ___________

(a)

30^o

(b)

60^o

(c)

45^o

(d)

90^o

10.

If \(\left| \overset { \rightarrow }{ a } \right| =\left| \overset { \rightarrow }{ b } \right| =1\)such that \(\overset { \rightarrow }{ a } +2\overset { \rightarrow }{ b } \) and \(5\overset { \rightarrow }{ a } -\overset { \rightarrow }{ b } \) are perpendicular to each other, then the angle between \(\overset { \rightarrow }{ a } \) and \(\overset { \rightarrow }{ b } \) is _______________

(a)

45^o

(b)

60^o

(c)

cos^-1 \(\left( \frac { 1 }{ 3 } \right) \)

(d)

cos^-1 \(\left( \frac { 2 }{ 7 } \right) \)

11.

The volume of the parallelepiped whose sides are given by \(\overset { \rightarrow }{ OA } =2\overset { \wedge }{ i } -3\overset { \wedge }{ j } \), \(\overset { \rightarrow }{ OB } =\overset { \wedge }{ i } +\overset { \wedge }{ j } -\overset { \wedge }{ k } \) and \(\overset { \rightarrow }{ OC } =3\overset { \wedge }{ i } -\overset { \wedge }{ k } \) is _____________

(a)

\(\frac { 4 }{ 13 } \)

(b)

(c)

\(\frac { 2 }{ 7 } \)

(d)

\(\frac { 4 }{ 9 } \)

12.

If \(\overset { \rightarrow }{ a } \), \(\overset { \rightarrow }{ b } \) and \(\overset { \rightarrow }{ c } \) are any three vectors, then \(\overset { \rightarrow }{ a } \times \left( \overset { \rightarrow }{ b } \times \overset { \rightarrow }{ c } \right) =\overset { \rightarrow }{ a } \times \left( \overset { \rightarrow }{ b } \times \overset { \rightarrow }{ c } \right) \) if and only if __________

(a)

\(\overset { \rightarrow }{ b } \), \(\overset { \rightarrow }{ c } \) are collinear

(b)

\(\overset { \rightarrow }{ a } \) and \(\overset { \rightarrow }{ c } \) are collinear

(c)

\(\overset { \rightarrow }{ a } \) and \(\overset { \rightarrow }{ b } \) are collinear

(d)

none

13.

The area of the parallelogram having diagonals \(\overset { \rightarrow }{ a } =3\overset { \wedge }{ i } +\overset { \wedge }{ j } -2\overset { \wedge }{ k } \) and \(\overset { \rightarrow }{ b } =\overset { \wedge }{ i } -3\overset { \wedge }{ j } +\overset { \wedge }{ 4k } \) is ____________

(a)

(b)

2\(\sqrt { 3 } \)

(c)

4\(\sqrt { 3 } \)

(d)

5\(\sqrt { 3 } \)

14.

If \(\overset { \rightarrow }{ a } \) and \(\overset { \rightarrow }{ b } \) are two unit vectors, then the vectors \(\left( \overset { \rightarrow }{ a } +\overset { \rightarrow }{ b } \right) \times \left( \overset { \rightarrow }{ a } \times \overset { \rightarrow }{ b } \right) \) is parallel to the vector ___________

(a)

\(\overset { \rightarrow }{ a } -\overset { \rightarrow }{ b } \)

(b)

\(\overset { \rightarrow }{ a } +\overset { \rightarrow }{ b } \)

(c)

2\(\overset { \rightarrow }{ a } -\overset { \rightarrow }{ b } \)

(d)

2\(\overset { \rightarrow }{ a } +\overset { \rightarrow }{ b } \)

15.

If \(\overset { \rightarrow }{ d } =\overset { \rightarrow }{ a } \times \left( \overset { \rightarrow }{ b } \times \overset { \rightarrow }{ c } \right) +\overset { \rightarrow }{ b } \times \left( \overset { \rightarrow }{ c } \times \overset { \rightarrow }{ a } \right) +\overset { \rightarrow }{ c } \times \left( \overset { \rightarrow }{ a } +\overset { \rightarrow }{ b } \right) \), then __________

(a)

\(\left| \overset { \rightarrow }{ d } \right| \)

(b)

\(\overset { \rightarrow }{ d } =\overset { \rightarrow }{ a } +\overset { \rightarrow }{ b } +\overset { \rightarrow }{ c } \)

(c)

\(\overset { \rightarrow }{ d } =\overset { \rightarrow }{ 0 } \)

(d)

a, b, c are coplanar

Visit QB365-SLMS - https://www.qb365.in/slms/

Answers Key:

Multiple Choice Question

15 x 1 = 15

(b)
6

(a)
\(2\left( { \left| \overset { \rightarrow }{ a } \right| }^{ 2 }+{ \left| \overset { \rightarrow }{ b } \right| }^{ 2 } \right) \)

(d)
(-10, 4, \(\frac { 1 }{ 2 } \))

(c)
\(\sqrt { 1-{ \left( \frac { \overset { \rightarrow }{ a. } \overset { \rightarrow }{ b } }{ \left| \overset { \rightarrow }{ a } \right| \left| \overset { \rightarrow }{ b } \right| } \right) }^{ 2 } } \)