# Chapter 8: Vector Algebra I - Online Test

Q1. The value of is
Explaination / Solution: Q2. If are parallel, then the value of m is
Explaination / Solution: Q3. The unit vector parallel to the resultant of the vectors iˆ + jˆ − kˆ and iˆ − 2 jˆ + kˆ is
Explaination / Solution: Q4. A vector makes 60° and 45° with the positive direction of the x and y axes respectively. Then the angle between and the z-axis is
Explaination / Solution: Q5. If = 3iˆ + 2 jˆ + kˆ and the position vector of B is iˆ + 3jˆ − kˆ, then the position vector A is
Explaination / Solution: Q6. A vector makes equal angle with the positive direction of the coordinate axes. Then each angle is equal to
Explaination / Solution: Q7. The vectors are
Explaination / Solution:
No Explaination.

Q8. If ABCD is a parallelogram, then is equal to
Explaination / Solution: Q9. One of the diagonals of parallelogram ABCD with and as adjacent sides is + . The other diagonal is
Explaination / Solution: Q10. If , are the position vectors A and B, then which one of the following points whose position vector lies on AB, is
Explaination / Solution: 