EASY
12th Madhya Pradesh Board
IMPORTANT
Earn 100

Find the angle between the vectors 3i^+j^+2k^ and 2i^-2j^+4k^.

Important Questions on Vector Algebra

HARD
12th Madhya Pradesh Board
IMPORTANT
If G is the centroid of a triangle ABC, prove that GA+GB+GC=0.
EASY
12th Madhya Pradesh Board
IMPORTANT
If a=3i^+2j^+2k^, b=-i^+3j^-k^ and c=i^+j^+k^ then find a×(b×c).
EASY
12th Madhya Pradesh Board
IMPORTANT
Find a unit vector in the direction of the vector a=2i^+3j^+k^.
MEDIUM
12th Madhya Pradesh Board
IMPORTANT
Find the projection of a=2i^+3j^+2k^ on the vector b=i^+2j^+k^.
MEDIUM
12th Madhya Pradesh Board
IMPORTANT
If a+b+c=0, then prove that a×b=b×c=c×a.
MEDIUM
12th Madhya Pradesh Board
IMPORTANT

Find the area of the parallelogram whose adjacent sides are determined by the vectors a=3i^+j^+4k^ and b=i^-j^+k^.

HARD
12th Madhya Pradesh Board
IMPORTANT
Show that the angle between any two diagonals of a cube is cos-113.
EASY
12th Madhya Pradesh Board
IMPORTANT
The vector sum of the three sides of a triangle taken in order is 0.