New chat PYQ Library Doubts Rank report

Sign in to see Recents

Sign in to save progress →

Vector Algebra question

2023 · 24 Jan · Shift 1 · Q65

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

PYQ Library
JEE Main
Physics
Vector Algebra
2023 · 24 Jan · Shift 1 · Q65

Vector Algebra question

2023 · 24 Jan · Shift 1 · Q65

JEE MainPhysicsVector AlgebraNumerical+4 / −1

Vectors

a\widehat i + b\widehat j + \widehat k

and

2\widehat i - 3\widehat j + 4\widehat k

are perpendicular to each other when

3a + 2b = 7

, the ratio of

a

to

b

is

{x \over 2}

. The value of

x

is

\underline{\hspace{2cm}}

.

Numerical answer

More from Vector Algebra

If two vectors $P = i + 2 m j + m k$ and $Q = 4 i - 2 j + m k$ are perpendicular to each other. Then, the value of m will be :2023 · MCQ
If $P = 3 i + 3 j + 2 k$ and $Q = 4 i + 3 j + 2.5 k$ then, the unit vector in the direction of $P \times Q$ …2023 · Numerical
$A$ is a vector quantity such that $∣ A ∣$ = non-zero constant. Which of the following expression is true for $A$ ?2022 · MCQ
Which of the following relations is true for two unit vector $A$ and $B$ making an angle $θ$ to each other?2022 · MCQ
If $A = (2 \hat{i} + 3 \hat{j} - \hat{k}) m$ and $B = (\hat{i} + 2 \hat{j} + 2 \hat{k}) m$ . The magnitude of component of vector $A$ along vector $B$ will be $m$ .2022 · Numerical
If the projection of $2 \hat{i} + 4 \hat{j} - 2 \hat{k}$ on $\hat{i} + 2 \hat{j} + α \hat{k}$ is zero. Then, the value of $α$ will be .2022 · Numerical
Two vectors $A$ and $B$ have equal magnitudes. If magnitude of $A$ + $B$ is equal to two times the magnitude of $A - B$ , then the angle between $A$ …2022 · MCQ
If $A$ and $B$ are two vectors satisfying the relation $A$ . $B$ = $A \times B$ . Then the value of $A - B$ …2021 · MCQ