New chat PYQ Library Doubts Rank report

Sign in to see Recents

Sign in to save progress →

Vector Algebra question

2023 · 13 Apr · Shift 1 · Q43

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

PYQ Library
JEE Main
Mathematics
Vector Algebra
2023 · 13 Apr · Shift 1 · Q43

Vector Algebra question

2023 · 13 Apr · Shift 1 · Q43

JEE MainMathematicsVector AlgebraNumerical+4 / −1

Let

\vec{a}=3 \hat{i}+\hat{j}-\hat{k}

and

\vec{c}=2 \hat{i}-3 \hat{j}+3 \hat{k}

. If

\vec{b}

is a vector such that

\vec{a}=\vec{b} \times \vec{c}

and

|\vec{b}|^{2}=50

, then

|72-| \vec{b}+\left.\vec{c}\right|^{2} \mid

is equal to

\underline{\hspace{2cm}}

.

Numerical answer

More from Vector Algebra

Let $∣ a ∣ = 2, ∣ b ∣ = 3$ and the angle between the vectors $a$ and $b$ be $\frac{π}{4}$ . Then $∣ (a + 2 b) \times (2 a - 3 b) ∣^{2}$ is equal to :2023 · MCQ
Let for a triangle $ABC$ , $AB = - 2 \hat{i} + \hat{j} + 3 \hat{k} CB = α \hat{i} + β \hat{j} + γ \hat{k} CA = 4 \hat{i} + 3 \hat{j} + δ \hat{k}$ If $δ > 0$ …2023 · MCQ
Let $ABCD$ be a quadrilateral. If $E$ and $F$ are the mid points of the diagonals $(A B - B C) + (A D - D C) = k F E$ and $BD$ respectively and $(A B - B C) + (A D - D C) = k F E$ …2023 · MCQ
Let PQR be a triangle. The points A, B and C are on the sides QR, RP and PQ respectively such that $\frac{Q A}{A R} = \frac{R B}{B P} = \frac{P C}{C Q} = \frac{1}{2}$ . Then $\frac{A r e a ( Δ P QR )}{A r e a ( Δ A B C )}$ is equal…2023 · MCQ
Let $α = 4 i + 3 j + 5 k$ and $β = i + 2 j - 4 k$ . Let $β_{1}$ be parallel to $α$ and $β_{2}$ …2023 · MCQ
Let $a = i + 2 j + λ k, b = 3 i - 5 j - λ k, a . c = 7, 2 b . c + 43 = 0, a \times c = b \times c$ …2023 · Numerical
The vector $a = - i + 2 j + k$ is rotated through a right angle, passing through the y-axis in its way and the resulting vector is $b$ . Then the projection of $3 a + 2 b$ …2023 · MCQ
If the vectors $a = λ i + μ j + 4 k$ , $b = - 2 i + 4 j - 2 k$ and $c = 2 i + 3 j + k$ are coplanar and…2023 · MCQ