New chat PYQ Library Doubts Rank report

Sign in to see Recents

Sign in to save progress →

Vector Algebra question

2022 · 29 Jul · Shift 2 · Q35

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

PYQ Library
JEE Main
Mathematics
Vector Algebra
2022 · 29 Jul · Shift 2 · Q35

Vector Algebra question

2022 · 29 Jul · Shift 2 · Q35

JEE MainMathematicsVector AlgebraMCQ+4 / −1

Let

\vec{a}, \vec{b}, \vec{c}

be three coplanar concurrent vectors such that angles between any two of them is same. If the product of their magnitudes is 14 and

(\vec{a} \times \vec{b}) \cdot(\vec{b} \times \vec{c})+(\vec{b} \times \vec{c}) \cdot(\vec{c} \times \vec{a})+(\vec{c} \times \vec{a}) \cdot(\vec{a} \times \vec{b})=168

, then

|\vec{a}|+|\vec{b}|+|\vec{c}|

is equal to :

A
10
B
14
C
16
D
18

More from Vector Algebra

Let $a$ and $b$ be two vectors such that $∣ a + b ∣^{2} = ∣ a ∣^{2} + 2∣ b ∣^{2}, a \cdot b = 3$ and $∣ a \times b ∣^{2} = 75$ . Then $∣ a ∣^{2}$ is equal to .2022 · Numerical
Let $a = α i + 3 j - k$ , $b = 3 i - β j + 4 k$ and $c = i + 2 j - 2 k$ where $\alpha ,\,\beta \in…2022 · MCQ
Let A, B, C be three points whose position vectors respectively are $a = i + 4 j + 3 k b = 2 i + α j + 4 k, α \in R c = 3 i - 2 j + 5 k$ …2022 · MCQ
Let $a = i - 2 j + 3 k$ , $b = i + j + k$ and $c$ be a vector such that $a + (b \times c) = 0$ …2022 · Numerical
Let $a = 2 i - j + 2 k$ and $b = i + 2 j - k$ . Let a vector $v$ be in the plane containing $a$ and $b$ .…2021 · Numerical
Let a vector $α i + β j$ be obtained by rotating the vector $3 i + j$ by an angle 45 $^{\circ}$ about the origin in counterclockwise direction in the first quadrant. Then the area of…2021 · MCQ
Let $a$ = $i$ + 2 $j -$ 3 $k$ and $b = 2 i -$ 3 $j$ + 5 $k$ . If $r \times a$ = $b \times r$ , $r$ …2021 · MCQ
Let O be the origin. Let $O P = x i + y j - k$ and $O Q = - i + 2 j + 3 x k$ , x, y $\in$ R, x > 0, be such that $P Q = 20$ …2021 · MCQ