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Problem 7 Easy Difficulty

The vector shown, $\vec{v}$, represents the velocity of a car heading due north at
$100 \mathrm{km} / \mathrm{h} .$ Give possible interpretations for each of the other vectors shown.

Answer

a. $100 \mathrm{~km} / \mathrm{h},$ south
b. $50 \mathrm{~km} / \mathrm{h},$ west
c. $100 \mathrm{~km} / \mathrm{h}$, northeast
d. $25 \mathrm{~km} / \mathrm{h},$ northwest
e. $60 \mathrm{~km} / \mathrm{h},$ east

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Video Transcript

In this question, a Victor V is shown and it represents the velocity of a car which heads view north at 100 km/h. Now we need to give possible interpretations for each of the other victims that have been shown. Now notice that the first victor, in part E. Is of the same length as the victor v, but it is in the opposite direction. Since it is the same length, the magnitude will be the same. So you represent the same magnitude which will be 100 kilometers per hour. And since the first vector V represents the direction north. So this vector which is given in party which is in the direction opposite to it, represent the direction south. So an interpretation is that it represents A velocity of 100 km/h due south. Now in the second question, the length is half of the length of vector V. So the magnitude on behalf of 100 which will be 50 kilometers per hour. Also, since the victory points upwards, and that represents north, the victor in B points to the left, so that will represent the direction west. So this is a possible interpretation. In the next part, we have a vector which is pointing upwards into the right and the length is the same as the length of vector v. Since the length is the same, the magnitude will be the same, which is 100 km/h. And since it is pointing in the direction which is to the right and upward, this direction will be northeast. Now in the next problem, we have a vector whose length is approximately 1/4 of the length of victor heat. So the magnitude will be 14 500 which is 25 kilometers per hour, and it is pointed in the direction upward and to the left. So the direction will be north west and last one represents a victor, which is pointing to the right, and whose length is approximately 3/5 of the length of vector V. So the magnitude will be 3/5 of 100 which will be 60 km for our. And since it is pointing to the right, the direction will be to the east. So these are the possible interpretations for the given victims.