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Practice each question, then open the answer or worked solution.
Prove that in any triangle ABC, , where a, b, c are the
magnitudes of the sides opposite to the vertices A, B, C, respectively.
In triangle ABC, the components of c are c cos A and c sin A.
If 
determine the vertices of a triangle, show that gives the
vector area of the triangle. Hence deduce the condition that the three points 
are collinear. Also find the unit vector normal to the plane of the triangle.
Show that area of the parallelogram whose diagonals are given by 
and 
is . Also find the area of the parallelogram whose diagonals are 
and 
.
Let’s take ABCD to be a parallelogram such that
If 
find a vector 
such that 
Objective Type Questions
Choose the correct answer from the given four options in each of the Exercises from 19 to 33 (M.C.Q)
The vector in the direction of the vector 
that has magnitude 9 is
The correct option is (C).
The position vector of the point which divides the join of points 
in the ratio 3 : 1 is
The correct option is (D).
The given vectors are in the ratio 3: 1
The vector having initial and terminal points as (2, 5, 0) and (–3, 7, 4), respectively is 
The correct option is (C).
Let A and B be two points whose coordinates are given as (2, 5, 0) and (-3, 7, 4)
So, we have
The angle between two vectors 
and 
with magnitudes √3 and 4, respectively, and 
is
The correct option is (B).
