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Vector Algebra question

2024 · 8 Apr · Shift 1 · Q34

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JEE Main
Mathematics
Vector Algebra
2024 · 8 Apr · Shift 1 · Q34

Vector Algebra question

2024 · 8 Apr · Shift 1 · Q34

JEE MainMathematicsVector AlgebraMCQ+4 / −1

The set of all

\alpha

, for which the vectors

\vec{a}=\alpha t \hat{i}+6 \hat{j}-3 \hat{k}

and

\vec{b}=t \hat{i}-2 \hat{j}-2 \alpha t \hat{k}

are inclined at an obtuse angle for all

t \in \mathbb{R}

, is

A
$[0,1)$
B
$\left(-\frac{4}{3}, 0\right]$
C
$(-2,0]$
D
$\left(-\frac{4}{3}, 1\right)$

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