Vector Algebra
NCERT Class 12
CBSE
Grade 12
Question:
Vectors $\vec{a} = 2\hat{i} - 3\hat{j} + 4\hat{k}$ and $\vec{b} = -4\hat{i} + 6\hat{j} - 8\hat{k}$ are:
(a) Collinear and opposite in direction
(b) Perpendicular
(c) Equal vectors
(d) Non-collinear
Step-by-Step Solution
$\vec{b} = -2\vec{a} \Rightarrow$ Collinear and opposite in direction. [1.0 Mark]
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🎯 Official CBSE Marking Scheme:
Selecting Collinear and opposite in direction: 1.0 Mark
Correct Answer: Collinear and opposite in direction
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