Mastering Vectors: Practice Questions to Sharpen Your Skills

Question 1:

Vector V has a magnitude of 6 units and it creates an angle of 210 degrees with the positive x-axis.
Find the magnitude and direction of -4v.
Give the direction as an angle measure between 0 degreeand 360 degree.

Question 2:

The component form of vector w is w = (-3,1).
Find -3w.

Question 3:

Vector V has a magnitude of 3 units and it creates an angle of 160 degrees with the positive x-axis.
Find the magnitude and direction of 5v.
Give the direction as an angle measure between 0 degreeand 360 degree.

Question 4

These are the component forms of vectors p and q:

• p=(2,-2)
• q=(-3,-1)

Add the vectors.

Question 5

The magnitude of vector v is 8, and its direction angle is 140 degrees.
The magnitude of vector w is 4, and its direction angle is 40 degrees.
Find the component form of v + w.
It's okay to round your intermediate calculations and final answer to the nearest hundredth.

Post your answers in the comment section.