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 · Q40

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

PYQ Library
JEE Main
Mathematics
Vector Algebra
2021 · 20 Jul · Shift 1 · Q40

Vector Algebra question

2021 · 20 Jul · Shift 1 · Q40

JEE MainMathematicsVector AlgebraNumerical+4 / −1

If the shortest distance between the lines

\overrightarrow {{r_1}} = \alpha \widehat i + 2\widehat j + 2\widehat k + \lambda (\widehat i - 2\widehat j + 2\widehat k)

,

\lambda\in

R,

\alpha

> 0 and

\overrightarrow {{r_2}} = - 4\widehat i - \widehat k + \mu (3\widehat i - 2\widehat j - 2\widehat k)

,

\mu\in

R is 9, then

\alpha

is equal to

\underline{\hspace{2cm}}

.

Numerical answer

More from Vector Algebra

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
If $(a + 3 b)$ is perpendicular to $(7 a - 5 b)$ and $(a - 4 b)$ is perpendicular to $(7 a - 2 b)$ …2021 · Numerical