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Problem 8 Easy Difficulty

For each of the following vectors, describe the opposite vector.
a. an airplane flies due north at $400 \mathrm{km} / \mathrm{h}$
b. a car travels in a northeasterly direction at $70 \mathrm{km} / \mathrm{h}$
c. a bicyclist pedals in a northwesterly direction at $30 \mathrm{km} / \mathrm{h}$
d. a boat travels due west at $25 \mathrm{km} / \mathrm{h}$

Answer

a. $400 \mathrm{~km} / \mathrm{h},$ due south
b. $70 \mathrm{~km} / \mathrm{h},$ southwesterly
c. $30 \mathrm{~km} / \mathrm{h}$ southeasterly
d. $25 \mathrm{~km} / \mathrm{h},$ due east

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Video Transcript

in this problem, we have been asked to describe the vector which is the opposite of the victor, given. Now in the first problem, we have an airplane flying due north at 400 km/h. Now the opposite victor will have the same magnitude but the opposite direction, so the magnitude will be 400 km/h. And since the question has a vector which flies due north, the opposite vector will be in the direction opposite to north, so that will be south, so the opposite vector B 400 kilometers per hour. View south. And the second problem, a car travels in a northeasterly direction at 70 km/h, so the opposite victor will have the same magnitude, which is 70 km/h, and the direction will be opposite to the North Easterly direction, which will be the southwesterly direction, So 70 km/h in the south westerly direction. Now in the third problem, we have a vice cyclist which pedals in a northwesterly direction at 30 km/h. The opposite victor will have the same magnitude of 30 km/h, and the direction will be opposite to the direction of northwesterly, which will be southeasterly. And in the last problem, we have a boat which travels due west at 25 km/h. The opposite victor will have the same magnitude of 25 km/h and the direction of the opposite to the direction of West, so that will be east, so the opposite vector will be 25 km/h. View east.