Question

Given that r is a vector 125 km due north, and s is a vector 164 km due south, what are the

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magnitude and direction of the sum r + s?

Answer 1

Magnitude = 39 km

Direction = South

Explanation:

Formula we use,

→ r + s

Now the required answer will be,

→ r + s

→ 164 + (-125)

→ 164 - 125

→ 39 km

Thus, answer is 39 km due south.

Answer 2

• 39 km due south

Explanation:

Since the two vector have opposite directions, their sum will be the difference of magnitudes:

• r + s = 164 - 125 = 39

And the direction is the same with the vector with greater magnitude, so it is south.