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Let be a triangle, the position vectors whose vertices are and . Then, is
(a)isosceles
(b)equilateral
(c)right-angled
(d)None of these

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Important Questions on Vector Algebra
EASY
JEE Advanced
IMPORTANT
The sides of a parallelogram are and . The unit vector parallel to one of the diagonals is

HARD
JEE Advanced
IMPORTANT
If and , then which one of the following points lies on the bisector of the angle between and ( is the origin of reference)?

EASY
JEE Advanced
IMPORTANT
If point and are collinear, then

EASY
JEE Advanced
IMPORTANT
If and are non-coplanar vectors and is a real number, then the vectors and are coplanar when

EASY
JEE Advanced
IMPORTANT
A vector has components in a right-handed rectangular Cartesian system . The coordinate system is rotated about -axis through the angle . Find the components of in new system.

HARD
JEE Advanced
IMPORTANT
Find the magnitude and direction of when and points North –East while points North –West.

HARD
JEE Advanced
IMPORTANT
Let be a parallelogram with at the origin and as a diagonal. Let be the midpoint of . Using vector methods, prove that and intersect in the same ratio, determine this ratio.

HARD
JEE Advanced
IMPORTANT
is a triangle with the point on side such that , the point is on the line such that . Find the ratio in which the line joining the common point of and and the point divides .
