Vector Algebra - Online Test

Q1. If a vector  is expressed in component form as  then the magnitude of the vectorr   is
Answer : Option D
Explaination / Solution:



Q2. If a vector r   is expressed in component form as  then x, y and z are referred to as
Answer : Option C
Explaination / Solution:

In r  x , y and z represents the components of along x-axis ,y-axis and z-axis respectively.
Q3. Which of the following is a vector?
Answer : Option A
Explaination / Solution:

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

Q4. In the figure which are the Equal vectors?

Answer : Option B
Explaination / Solution:

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

Q5. In the figure which are the collinear vectors?

Answer : Option B
Explaination / Solution:

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

Q6.  are
Answer : Option A
Explaination / Solution:

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

Q7. If two vectors have their corresponding direction cosines equal then the two vectors
Answer : Option B
Explaination / Solution:

If the direction cosines of two vectors are same , then the vectors are said to be parallel.

Q8. In triangle ABC, which of the following is not true?

Answer : Option B
Explaination / Solution:

 (triangle law of vector addition) but 
Q9. If  are  two collinear vectors, then which of the following are incorrect
Answer : Option A
Explaination / Solution:

If  are two collinear vectors, then, they are parallel to the same line irrespective of their magnitudes and directions.

Q10. Magnitude of the vector   is
Answer : Option C
Explaination / Solution: