New chat PYQ Library Doubts Rank report

Sign in to see Recents

Sign in to save progress →

Vector Algebra question

2011 · Shift 0 · Q52

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

PYQ Library
JEE Main
Mathematics
Vector Algebra
2011 · Shift 0 · Q52

Vector Algebra question

2011 · Shift 0 · Q52

JEE MainMathematicsVector AlgebraMCQ+4 / −1

Let

\overrightarrow a

,

\overrightarrow b

,

\overrightarrow c

be three non-zero vectors which are pairwise non-collinear. If

\overrightarrow a+3 \overrightarrow b

is collinear with

\overrightarrow c

and

\overrightarrow b+2 \overrightarrow c

is collinear with

\overrightarrow a

, then

\overrightarrow a+\overrightarrow b+6 \overrightarrow c

is :

A
$\overrightarrow a+\overrightarrow c$
B
$\overrightarrow c$
C
$\overrightarrow a$
D
$\overrightarrow 0$

More from Vector Algebra

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
If $u$ and $v$ are unit vectors and $θ$ is the acute angle between them, then $2 u \times 3 v$ is a unit vector for :2007 · MCQ
The values of a, for which the points $A, B, C$ with position vectors $2 i - j + k, i - 3 j - 5 k$ and $a i - 3 j + k$ respectively are the vertices of a…2006 · MCQ
For any vector $a$ , the value of $(a \times i)^{2} + (a \times j)^{2} + (a \times k)^{2}$ is equal…2005 · MCQ
If $P$ is the mid point of $A B,$ and $P$ is any point outside $A B,$ then :2005 · MCQ
Let $a, b$ and $c$ be distinct non-negative numbers. If the vectors $a i + a j + c k, i + k$ and $c i + c j + b k$ lie in a plane, then $c$ is :2005 · MCQ
Let $a, b$ and $c$ be non-zero vectors such that $(a \times b) \times c = \frac{1}{3} b c a .$ …2004 · MCQ