New chat PYQ Library Doubts Rank report

Sign in to see Recents

Sign in to save progress →

Vector Algebra question

2018 · 16 Apr · Shift 1 · Q43

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

PYQ Library
JEE Main
Mathematics
Vector Algebra
2018 · 16 Apr · Shift 1 · Q43

Vector Algebra question

2018 · 16 Apr · Shift 1 · Q43

JEE MainMathematicsVector AlgebraMCQ+4 / −1

Let

\overrightarrow a = \widehat i + \widehat j + \widehat k,\overrightarrow c = \widehat j - \widehat k

and a vector

\overrightarrow b

be such that

\overrightarrow a \times \overrightarrow b = \overrightarrow c

and

\overrightarrow a .\overrightarrow b = 3.

Then

\left| {\overrightarrow b } \right|

equals :

A
${{11} \over 3}$
B
${{11} \over {\sqrt 3 }}$
C
$\sqrt {{{11} \over 3}}$
D
${{\sqrt {11} } \over 3}$

More from Vector Algebra

Let $u$ be a vector coplanar with the vectors $a = 2 i + 3 j - k$ and $b = j + k$ . If $u$ is perpendicular to $a$ …2018 · MCQ
The area (in sq. units) of the parallelogram whose diagonals are along the vectors $8 i - 6 j$ and $3 i + 4 j - 12 k,$ is :2017 · MCQ
If the vector $b = 3 j + 4 k$ is written as the sum of a vector $b_{1},$ paralel to $a = i + j$ and a vector $b_{2},$ perpendicular to $a,$ …2017 · MCQ
Let $a = 2 i + j - 2 k$ and $b = i + j$ . Let $c$ be a vector such that $c - a = 3$ , $(a \times b) \times c = 3$ …2017 · MCQ
In a triangle ABC, right angled at the vertex A, if the position vectors of A, B and C are respectively 3 $i$ + $j - k$ , $- i$ + 3 $j$ + p $k$ and 5 $i$ + q $j -$ 4 $k$ …2016 · MCQ
Let ABC be a triangle whose circumcentre is at P. If the position vectors of A, B, C and P are $a, b, c$ and $\frac{a + b + c}{4}$ …2016 · MCQ
If the vectors $A B = 3 i + 4 k$ and $A C = 5 i - 2 j + 4 k$ are the sides of a triangle $A B C,$ then the length of the median through $A$ is :2013 · MCQ
Let $a$ and $b$ be two unit vectors. If the vectors $c = a + 2 b$ and $d = 5 a - 4 b$ are perpendicular to each other, then the angle…2012 · MCQ