New chat PYQ Library Doubts Rank report

Sign in to see Recents

Sign in to save progress →

Vector Algebra question

2016 · 9 Apr · Shift 1 · Q34

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

PYQ Library
JEE Main
Mathematics
Vector Algebra
2016 · 9 Apr · Shift 1 · Q34

Vector Algebra question

2016 · 9 Apr · Shift 1 · Q34

JEE MainMathematicsVector AlgebraMCQ+4 / −1

In a triangle ABC, right angled at the vertex A, if the position vectors of A, B and C are respectively 3

\widehat i

+

\widehat j-\widehat k

,

-\widehat i

+ 3

\widehat j

+ p

\widehat k

and 5

\widehat i

+ q

\widehat j-

4

\widehat k

, then the point (p, q) lies on a line :

A
parallel to x-axis.
B
parallel to y-axis.
C
making an acute angle with the positive direction of x-axis.
D
making an obtuse angle with the positive direction of x-axis.

More from Vector Algebra

Let ABC be a triangle whose circumcentre is at P. If the position vectors of A, B, C and P are $a, b, c$ and $\frac{a + b + c}{4}$ …2016 · MCQ
If the vectors $A B = 3 i + 4 k$ and $A C = 5 i - 2 j + 4 k$ are the sides of a triangle $A B C,$ then the length of the median through $A$ is :2013 · MCQ
Let $a$ and $b$ be two unit vectors. If the vectors $c = a + 2 b$ and $d = 5 a - 4 b$ are perpendicular to each other, then the angle…2012 · MCQ
Let $A B C D$ be a parallelogram such that $A B = q, A D = p$ and $∠ B A D$ be an acute angle. If $r$ is the vector that coincide with the altitude…2012 · MCQ
The vectors $a$ and $b$ are not perpendicular and $c$ and $d$ are two vectors satisfying $b \times c = b \times d$ …2011 · MCQ
Let $a$ , $b$ , $c$ be three non-zero vectors which are pairwise non-collinear. If $a + 3 b$ is collinear with $c$ and $b + 2 c$ …2011 · MCQ
If the vectors $a = i - j + 2 k, b = 2 i + 4 j + k$ and $c = λ i + j + μ k$ are…2010 · MCQ
The non-zero vectors are $a, b$ and $c$ are related by $a = 8 b$ and $c = - 7 b .$ Then the angle between $a$ …2008 · MCQ