Question

What resultant vector do the displacement vectors of 3 km west, 1 km east, 4 km east combine to make?

Answer 1

We can find the resultant vector as shown below

Let the resultant vector be x

=3(-i) + 1(i) + 4(i)

=2i

therefore the resultant vector will be 2 km toward east.

Answer 2

VECTOR ADDITION:

• A resultant is a vector that is equal to the sum of two or more vectors.

• Vector quantities are combined together to find the resultant direction of the motion.

According to the question,

• Displacement vector of 3 km west = 3(-i)
• Displacement vector of 1 km east = 1(i)
• Displacement vector of 4km east = 4(i)

Resultant displacement vector = 3(-i) + 1(i) + 4(i)

                                                   = 2(i) or 2Km east