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Vector Algebra question

2024 · 29 Jan · Shift 1 · Q32

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PYQ Library
JEE Main
Mathematics
Vector Algebra
2024 · 29 Jan · Shift 1 · Q32

Vector Algebra question

2024 · 29 Jan · Shift 1 · Q32

JEE MainMathematicsVector AlgebraMCQ+4 / −1

Let

\vec{a}, \vec{b}

and

\vec{c}

be three non-zero vectors such that

\vec{b}

and

\vec{c}

are non-collinear. If

\vec{a}+5 \vec{b}

is collinear with

\vec{c}, \vec{b}+6 \vec{c}

is collinear with

\vec{a}

and

\vec{a}+\alpha \vec{b}+\beta \vec{c}=\overrightarrow{0}

, then

\alpha+\beta

is equal to

A
30
B
$-$ 30
C
$-$ 25
D
35

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