CBSE 12th Standard Maths Subject Vector Algebra Ncert Exemplar MCQ Questions 2021
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CBSE 12th Standard Maths Subject Vector Algebra Ncert Exemplar MCQ Questions 2021
12th Standard CBSE
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Reg.No. :
Maths
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The magnitude of the vector \(6 \hat{i}+2 \hat{j}+3 \hat{k}\) is
(a)5
(b)7
(c)12
(d)1
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The angle between two vectors \(\vec{a} \text { and } \vec{b}\) with magnitude, \(\sqrt{3} \text { and } 4\) respectively and \(\vec{a} \cdot \vec{b}=2 \sqrt{3}\) is
(a)\(\frac{\pi}{6}\)
(b)\(\frac{\pi}{3}\)
(c)\(\frac{\pi}{2}\)
(d)\(\frac{5 \pi}{2}\)
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If \(\boldsymbol{\theta}\) is the angle between two vectors \(\vec{a} \text { and } \vec{b},\) then \(\vec{a} \cdot \vec{b} \geq 0\) only when
(a)\(0<\theta<\frac{\pi}{2}\)
(b)\(0 \leq \theta \leq \frac{\pi}{2}\)
(c)\(0<\theta<\pi\)
(d)\(0 \leq \theta \leq \pi\)
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The value of \(\lambda\) for which the vectors \(\vec{a}=2 \hat{i}+\lambda \hat{j}+\hat{k} \text { and } \vec{b}=\hat{i}+2 \hat{j}+3 \hat{k}\) are orthogonal os
(a)0
(b)1
(c)\(\frac{3}{2}\)
(d)\(\frac{-5}{2}\)
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If \(|\vec{a}|=10,|\vec{b}|=2\) and \(\vec{a} \cdot \vec{b}=12\) 12, then the value of \(|\vec{a} \times \vec{b}|\) is
(a)5
(b)10
(c)14
(d)16
1 Marks
