Question

Vector a and vector b have the same direction. Vector a has a magnitude of 8 and vector b has a magnitude of 5. What is true about vector a and vector b

Answer 1

They can be written as a single vector with a magnitude of 13.

Explanation:

If two vectors have the opposite direction, they can be subtracted from each other and can be written as one vector. If two vectors have the same direction, they can be added to each other and can be written as a single vector as well.

If vector a with a magnitude of 8 has the same direction as vector b with a magnitude of 5, they can be written as a new vector, vector c in the same direction with a magnitude of 13.

I hope this answer helps.

Answer 2

They can both be be added up to give a single vector that has direction in their former directions.

Explanation:

If two vectors act towards the same direction, they be added up and their relative magnitude will be in their initial direction. Example: if a ball moves in the floor of a moving train with velocity 2m/s in the direction of the train that is moving with a velocity of 50m/s, then, the resultant velocity of the ball relative to the ground is 2 + 50 = 52m/s in their initial direction.