Vector Algebra - Online Test

Q1. Vectors A and B are equal
Answer : Option B
Explaination / Solution:

Two vectors having same magnitude as well as same direction are always equal.

Q2. Negative of a Vectora is a
Answer : Option C
Explaination / Solution:

egative of is equal to -a , i.e. A vector whose magnitude is the same as that of a ,but direction is opposite to that of a.

Q3. If  is a real number a is a
Answer : Option C
Explaination / Solution:

If a vector is multiplied by any scalar then , the result is always a vector.

Q4. If a vector is multiplied by any scalar then , the result is always a vector.
Answer : Option B
Explaination / Solution:

Addition of two vectors i.e. vector addition is commutative. i.e..
Q5. for vector addition which of the following is correct?
Answer : Option A
Explaination / Solution:

Addition of two vectors i.e. vector addition is associative. i.e. 
Q6. Correct form of distributive law is
Answer : Option B
Explaination / Solution:

Distributive law is given by :

Q7. If  and  are any two points, then the vector joining P1 and Pis the vector P1P2. Magnitude of the vector  is
Answer : Option A
Explaination / Solution:

If  and  are any two points, then the vector joining P1 and Pis the vector P1P2. then:    = 

Q8. If      are any three vectors then the correct expression for distributivity of scalar product over addition is
Answer : Option D
Explaination / Solution:

If      are any three vectors then the correct expression for distributivity of scalar product over addition is: 

Q9. Magnitude of the vector  is
Answer : Option D
Explaination / Solution:

We have :    then , a=12+12+12=3
Q10. Unit vectors along the axes OX, OY and OZ are denoted by
Answer : Option D
Explaination / Solution:

 represents the unit vectors along the co ordinate axes i.e. OX ,OY and OZ respectively.