New chat PYQ Library Doubts Rank report

Sign in to see Recents

Sign in to save progress →

Vector Algebra question

2019 · 10 Jan · Shift 2 · Q70

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

PYQ Library
JEE Main
Physics
Vector Algebra
2019 · 10 Jan · Shift 2 · Q70

Vector Algebra question

2019 · 10 Jan · Shift 2 · Q70

JEE MainPhysicsVector AlgebraMCQ+4 / −1

Two vectors

\overrightarrow A

and

\overrightarrow B

have equal magnitudes. The magnitude of

\left( {\overrightarrow A + \overrightarrow B } \right)

is 'n' times the magnitude of

\left( {\overrightarrow A - \overrightarrow B } \right)

. The angle between

{\overrightarrow A }

and

{\overrightarrow B }

is -

A
${\sin ^{ - 1}}\left[ {{{n - 1} \over {n + 1}}} \right]$
B
${\sin ^{ - 1}}\left[ {{{{n^2} - 1} \over {{n^2} + 1}}} \right]$
C
${\cos ^{ - 1}}\left[ {{{{n^2} - 1} \over {{n^2} + 1}}} \right]$
D
${\cos ^{ - 1}}\left[ {{{n - 1} \over {n + 1}}} \right]$

More from Vector Algebra

Let $A$ = $(i + j)$ and, $B = (2 i - j) .$ The magnitude of a coplanar vector $C$ such that $A . C = B . C = A . B,$ …2018 · MCQ
If $A \times B = B \times A$ , then the angle beetween A and B is2004 · MCQ
Two particles are located at equal distance from origin. The position vectors of those are represented by $A = 2 \hat{i} + 3 n \hat{j} + 2 \hat{k}$ and $\overset{ˉ}{B} = 2 \hat{i} - 2 \hat{j} + 4 p \hat{k}$ , respectively. If both the vectors are at…2025 · Numerical
The angle between vector $Q$ and the resultant of $(2 Q + 2 P)$ and $(2 Q - 2 P)$ is :2024 · MCQ
For three vectors $A = (- x \hat{i} - 6 \hat{j} - 2 \hat{k}), B = (- \hat{i} + 4 \hat{j} + 3 \hat{k})$ and $C = (- 8 \hat{i} - \hat{j} + 3 \hat{k})$ , if $A \cdot (B \times C) = 0$ , then value of $x$ is …2024 · Numerical
Three vectors $OP, OQ$ and $OR$ each of magnitude $A$ are acting as shown in figure. The resultant of the three vectors is $A x$ . The… Includes diagram2024 · Numerical
If $a$ and $b$ makes an angle $cos^{- 1} (\frac{5}{9})$ with each other, then $∣ a + b ∣ = 2 ∣ a - b ∣$ for $∣ a ∣ = n ∣ b ∣$ The integer value of $n$ is .2024 · Numerical
The resultant of two vectors $A$ and $B$ is perpendicular to $A$ and its magnitude is half that of $B$ . The angle between vectors $A$ and $B$ is $^{\circ}$ .2024 · Numerical