# SOME BASIC QUESTIONS ON VECTORS

## Multiple Choice Questions (Conceptual)

1. A vector can be best described as:
(a) scalar quantity

(b) resultant

(c) having magnitude

(d) having both magnitude and direction

(e) having direction only

2. An example of vector is:

(a) Mass

(b) Energy

(c) Time

(d) Force

(e) All of the above

(f) None of the above

3. A vector v makes an angle of 30° with the positive x-axis as measured in a counter-clockwise sense. Find teh component along the x and y axis if the magnitude of v is 5.

(a) v(x)= -2.5, v(y)= 2.5(3)½

(b) v(x)= 2.5, v(y)= 2.5(3)½

(c) v(x)= 5, v(y)= 5

(d) v(x)= 2.5(3)½, v(y)= 2.5

4. A vector F has components F(x)=20 and F(y)=5. Give the magnitude and direction of F if no angle is measured to the x-axis.

(a) |F|= 20.6, ø=76°

(b) |F|=20.6, ø=14°

(c) |F|= 5, ø=76°

(d) |F|=5, ø=14°

5. Resultant can be best described as:

(a) The difference of two vectors

(b) Sum of a set of given vectors

(c) The sum of two vectors

(d) The difference of a set of given vectors

(e) None of the above

## Problems

For questions 1-3 use:
A=3i-j-4k; B=-2i+4j-3k; C=i+2j-k
1. 2A-B+3C
2. |3A-2B+4C|
3. A unitary vector with the same direction as the vector in question 2.