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Vector Algebra question

2017 · 9 Apr · Shift 1 · Q35

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PYQ Library
JEE Main
Mathematics
Vector Algebra
2017 · 9 Apr · Shift 1 · Q35

Vector Algebra question

2017 · 9 Apr · Shift 1 · Q35

JEE MainMathematicsVector AlgebraMCQ+4 / −1

If the vector

\overrightarrow b = 3\widehat j + 4\widehat k

is written as the sum of a vector

\overrightarrow {{b_1}} ,

paralel to

\overrightarrow a = \widehat i + \widehat j

and a vector

\overrightarrow {{b_2}} ,

perpendicular to

\overrightarrow a ,

then

\overrightarrow {{b_1}} \times \overrightarrow {{b_2}}

is equal to :

A
$- 3\widehat i + 3\widehat j - 9\widehat k$
B
$6\widehat i - 6\widehat j + {9 \over 2}\widehat k$
C
$- 6\widehat i + 6\widehat j - {9 \over 2}\widehat k$
D
$3\widehat i - 3\widehat j + 9\widehat k$

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