CBSE 12th Standard Maths Subject Vector Algebra Ncert Exemplar MCQ Questions With Solution 2021
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CBSE 12th Standard Maths Subject Vector Algebra Ncert Exemplar MCQ Questions With Solution 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 vector having initial and terminal points as \((2,5,0) \text { and }(-3,7,4)\) respectively is
(a)\(-\hat{i}+12 \hat{j}+4 \hat{k}\)
(b)\(5 \hat{i}+2 \hat{j}-4 \hat{k}\)
(c)\(-5 \hat{i}+2 \hat{j}+4 \hat{k}\)
(d)\(\hat{i}+\hat{j}+\hat{k}\)
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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