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Vector Algebra question

2022 · 29 Jun · Shift 1 · Q23

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PYQ Library
JEE Main
Mathematics
Vector Algebra
2022 · 29 Jun · Shift 1 · Q23

Vector Algebra question

2022 · 29 Jun · Shift 1 · Q23

JEE MainMathematicsVector AlgebraMCQ+4 / −1

Let

\overrightarrow a = \alpha \widehat i + 3\widehat j - \widehat k

,

\overrightarrow b = 3\widehat i - \beta \widehat j + 4\widehat k

and

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

where

\alpha ,\,\beta \in R

, be three vectors. If the projection of

\overrightarrow a

on

\overrightarrow c

is

{{10} \over 3}

and

\overrightarrow b \times \overrightarrow c = - 6\widehat i + 10\widehat j + 7\widehat k

, then the value of

\alpha + \beta

is equal to :

A
3
B
4
C
5
D
6

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