New chat PYQ Library Doubts Rank report

Sign in to see Recents

Sign in to save progress →

Vector Algebra question

2021 · 20 Jul · Shift 1 · Q37

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

PYQ Library
JEE Main
Mathematics
Vector Algebra
2021 · 20 Jul · Shift 1 · Q37

Vector Algebra question

2021 · 20 Jul · Shift 1 · Q37

JEE MainMathematicsVector AlgebraNumerical+4 / −1

Let

\overrightarrow a

,

\overrightarrow b

,

\overrightarrow c

be three mutually perpendicular vectors of the same magnitude and equally inclined at an angle

\theta

, with the vector

\overrightarrow a

+

\overrightarrow b

+

\overrightarrow c

. Then 36cos22

\theta

is equal to

\underline{\hspace{2cm}}

.

Numerical answer

More from Vector Algebra

If the shortest distance between the lines $r_{1} = α i + 2 j + 2 k + λ (i - 2 j + 2 k)$ , $λ \in$ R, $α$ > 0 and $r_{2} = - 4 i - k + μ (3 i - 2 j - 2 k)$ …2021 · Numerical
In a triangle ABC, if $B C = 3$ , $C A = 5$ and $B A = 7$ , then the projection of the vector $B A$ on $B C$ …2021 · MCQ
For p > 0, a vector $v_{2} = 2 i + (p + 1) j$ is obtained by rotating the vector $v_{1} = 3 p i + j$ by an angle $θ$ about origin in counter clockwise…2021 · Numerical
Let $a = i + 2 j - k$ , $b = i - j$ and $c = i - j - k$ be three given vectors. If $r$ is a vector…2021 · Numerical
Let $a = i + α j + 3 k$ and $b = 3 i - α j + k$ . If the area of the parallelogram whose adjacent sides are represented by the vectors $a$ …2021 · Numerical
Let $p = 2 i + 3 j + k$ and $q = i + 2 j + k$ be two vectors. If a vector $r = (α i + β j + γ k)$ …2021 · Numerical
Let a, b and c be distinct positive numbers. If the vectors $a i + a j + c k, i + k$ and $c i + c j + b k$ are co-planar, then c is equal to :2021 · MCQ
If $a = 2, b = 5$ and $a \times b$ = 8, then $a . b$ is equal to :2021 · MCQ