New chat PYQ Library Doubts Rank report

Sign in to see Recents

Sign in to save progress →

Vector Algebra question

2018 · Shift 0 · Q36

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

PYQ Library
JEE Main
Mathematics
Vector Algebra
2018 · Shift 0 · Q36

Vector Algebra question

2018 · Shift 0 · Q36

JEE MainMathematicsVector AlgebraMCQ+4 / −1

Let

\overrightarrow u

be a vector coplanar with the vectors

\overrightarrow a = 2\widehat i + 3\widehat j - \widehat k

and

\overrightarrow b = \widehat j + \widehat k

. If

\overrightarrow u

is perpendicular to

\overrightarrow a

and

\overrightarrow u .\overrightarrow b = 24

, then

{\left| {\overrightarrow u } \right|^2}

is equal to

A
336
B
315
C
256
D
84

More from Vector Algebra

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
Let $A B C D$ be a parallelogram such that $A B = q, A D = p$ and $∠ B A D$ be an acute angle. If $r$ is the vector that coincide with the altitude…2012 · MCQ