Test: Vector Algebra- 2 - JEE MCQ

A vector whose initial and terminal points coincides is called Zero Vector. The magnitude of Zero Vector is also Zero.

It is given that: 

The vector whose magnitude is always 1 or unity is called a Unit Vector.

In  x , y and z represents the components of along x-axis ,y-axis and z-axis respectively.

Therefore , AB and BC are parallel, but point B is common , so points , A,B,C are collinear. As 

 is called the unit vector of a given vector 

Acceleration is a vector quantity , because acceleration is defined as the rate of change of velocity w.r.t. time.

Let position vector of point R be . As point R divides externally the line segment PQ in the ratio 1:2 .therefore ,

Also , mid point of the line segment RQ is : 
Which is the position vector of point P.
Therefore , P is the mid point of line segment RQ.

then projection of vector a on vector b is given by :

Two vectors whose initial point is same are called co- initial vectors

are equal vectors , because they have equal magnitude and same direction.

The scalar product of two nonzero vectors by 

Two vectors A and B are said to be collinear , if they are parallel to the same line irrespective of their magnitudes and directions.

 collinear vectors , because they are parallel in direction and having the same magnitude.

The scalar product of two nonzero vectors : 

It is given that :  are unit vectors such that 
then :

Therefore , the area of triangle