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Vector Algebra question

2023 · 29 Jan · Shift 1 · Q39

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JEE Main
Mathematics
Vector Algebra
2023 · 29 Jan · Shift 1 · Q39

Vector Algebra question

2023 · 29 Jan · Shift 1 · Q39

JEE MainMathematicsVector AlgebraMCQ+4 / −1

If the vectors

\overrightarrow a = \lambda \widehat i + \mu \widehat j + 4\widehat k

,

\overrightarrow b = - 2\widehat i + 4\widehat j - 2\widehat k

and

\overrightarrow c = 2\widehat i + 3\widehat j + \widehat k

are coplanar and the projection of

\overrightarrow a

on the vector

\overrightarrow b

is

\sqrt {54}

units, then the sum of all possible values of

\lambda + \mu

is equal to :

A
24
B
0
C
18
D
6

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