11th Standard Syllabus & Materials

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11th Standard English Medium Physics Subject Kinematics Creative 2 Mark Questions with Solution Part - I

Published on: 24/06/2021

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Std: 11th Standard - Physics

chapter: - Creative Questions

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Questions:

Generic 2

5 x 2 = 10

State the vector product of two vectors is not commutative but anti commutative.

How will you find the sum (resultant) of two vectors, which are inclined to each other?

Find the magnitude of vector 3\(\hat { i } -2\hat { j } +\sqrt { 3 } \hat { k } \) ?

Define the term modulus or magnitude of vector.

What is right handed coordinate system?

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Answers Key:

Generic 2

5 x 2 = 10

i) The vector product of two vectors is not commutative, i.e., \(\overrightarrow { A } \times \overrightarrow { B } \neq \overrightarrow { B } \times \overrightarrow { A } \) But., \(\overrightarrow { A } \times \overrightarrow { B } =-[\overrightarrow { B } \times \overrightarrow { A } ]\)
(ii) Here it is worthwhile to note that \(|\overrightarrow { A } \times \overrightarrow { B } |=[\overrightarrow { B } \times \overrightarrow { A } ]\)= AB sin \(\theta\) i.e., in the case of the product vectors \(\overrightarrow { A } \) \(\times\)\(\overrightarrow { B } \) and \(\overrightarrow { B } \) \(\times\) \(\overrightarrow { A } \) , the magnitudes are equal but directions are opposite to each other.

(i) By using triangular law of addition method or
(ii) Parallelogram law of vectors.

\(|3\hat { i } -2\hat { j } +\sqrt { 3 } \hat { k } |=\sqrt { { 3 }^{ 2 }+{ 2 }^{ 2 }+{ \sqrt { 3 } }^{ 2 } } \)
\(\sqrt { 9+4+3 } =\sqrt { 16 } =4\)

The length of a vector is called magnitude of the vector. It is always a positive quantity. The magnitude or norm is denoted by \(\left| \overrightarrow { A } \right| \) .

If the x, y and z axes are drawn in anticlockwise direction then the coordinate system is called as "right-handed Cartesian coordinate system".