New chat PYQ Library Doubts Rank report

Sign in to see Recents

Sign in to save progress →

Vector Algebra question

2019 · 9 Jan · Shift 2 · Q44

Guest · try one question or challengeGuest · try one question or challenge

PYQ Library
JEE Main
Mathematics
Vector Algebra
2019 · 9 Jan · Shift 2 · Q44

Vector Algebra question

2019 · 9 Jan · Shift 2 · Q44

JEE MainMathematicsVector AlgebraMCQ+4 / −1

Let

\overrightarrow a = \widehat i + \widehat j + \sqrt 2 \widehat k,\overrightarrow b = {b_1}\widehat i + {b_2}\widehat j + \sqrt 2 \widehat k

,

\overrightarrow c = 5\widehat i + \widehat j + \sqrt 2 \widehat k

be three vectors such that the projection vector of

\overrightarrow b

on

\overrightarrow a

is

\overrightarrow a

. If

\overrightarrow a + \overrightarrow b

is perpendicular to

\overrightarrow c

, then

\left| {\overrightarrow b } \right|

is equal to :

A
$\sqrt {32}$
B
6
C
$\sqrt {22}$
D
4

More from Vector Algebra

Let A (3, 0, –1), B(2, 10, 6) and C(1, 2, 1) be the vertices of a triangle and M be the midpoint of AC. If G divides BM in the ratio, 2 : 1, then cos ( $∠$ GOA) (O being the origin) is equal to :2019 · MCQ
The distance of the point having position vector $- i + 2 j + 6 k$ from the straight line passing through the point (2, 3, – 4) and parallel to the vector, $6 i + 3 j - 4 k$ is :2019 · MCQ
Let $a = 2 i + λ_{1} j + 3 k, b = 4 i + (3 - λ_{2}) j + 6 k,$ and $c = 3 i + 6 j + (λ_{3} - 1) k$ …2019 · MCQ
If $α$ = $(λ - 2) a + b$ and $β = (4 λ - 2) a + 3 b$ be two given vectors $a$ …2019 · MCQ
Let $a = i + 2 j + 4 k, b = i + λ j + 4 k$ and $c = 2 i + 4 j + (λ^{2} - 1) k$ be…2019 · MCQ
Let $3 i + j, i + 3 j$ and $β i + (1 - β) j$ respectively be the position vectors of the points A, B and C with respect to the origin O. If the…2019 · MCQ
Let $a = 3 i + 2 j + 2 k$ and $b = i + 2 j - 2 k$ be two vectors. If a vector perpendicular to both the vectors $a + b$ …2019 · MCQ
If $a, b,$ and $C$ are unit vectors such that $a + 2 b + 2 c = 0,$ then $a \times c$ …2018 · MCQ