New chat PYQ Library Doubts Rank report

Sign in to see Recents

Sign in to save progress →

Vector Algebra question

2004 · Shift 0 · Q92

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

PYQ Library
JEE Main
Mathematics
Vector Algebra
2004 · Shift 0 · Q92

Vector Algebra question

2004 · Shift 0 · Q92

JEE MainMathematicsVector AlgebraMCQ+4 / −1

Let

\overrightarrow u ,\overrightarrow v ,\overrightarrow w

be such that

\left| {\overrightarrow u } \right| = 1,\,\,\,\left| {\overrightarrow v } \right|2,\,\,\,\left| {\overrightarrow w } \right|3.

If the projection

{\overrightarrow v }

along

{\overrightarrow u }

is equal to that of

{\overrightarrow w }

along

{\overrightarrow u }

and

{\overrightarrow v },{\overrightarrow w }

are perpendicular to each other then

\left| {\overrightarrow u - \overrightarrow v + \overrightarrow w } \right|

equals :

A
$14$
B
${\sqrt {7} }$
C
${\sqrt {14} }$
D
$2$

More from Vector Algebra

If $a \times b = b \times c = c \times a$ then $a + b + c =$ 2003 · MCQ
Let $u = i + j, v = i - j$ and $w = i + 2 j + 3 k .$ If $n$ is a unit vector such that $u . n = 0$ …2003 · MCQ
The vectors $A B = 3 i + 4 k & A C = 5 i - 2 j + 4 k$ are the sides of triangle $A B C .$ The length of the median through $A$ is :2003 · MCQ
$a, b, c$ are $3$ vectors, such that $a + b + c = 0$ , $a = 1 b = 2, c = 3,$ …2003 · MCQ
A tetrahedron has vertices at $O (0, 0, 0), A (1, 2, 1) B (2, 1, 3)$ and $C (- 1, 1, 2) .$ Then the angle between the faces $O A B$ and $A B C$ will be :2003 · MCQ
If $a b c a^{2} b^{2} c^{2} 1 + a^{3} 1 + b^{3} 1 + c^{3} = 0$ and vectors $(1, a, a^{2}), (1, b, b^{2})$ …2003 · MCQ
Consider points $A, B, C$ and $D$ with position vectors $7 i - 4 j + 7 k, i - 6 j + 10 k, - i - 3 j + 4 k$ and $5 i - j + 5 k$ …2003 · MCQ
If $a = 4, b = 2$ and the angle between $a$ and $b$ is $π /6$ then $(a \times b)^{2}$ …2002 · MCQ