Question

Two vectors A and B are added together to form a vector C. The relationship between the magnitudes of the vectors is given by A+B=C. Which one of the following statements concerning these vectors is true?
A and B must point in the same direction.

Answer 1

Answer:

d. A and B must point in the same direction.

Explanation:

From the options:

a. A and B must be displacements

b. A and B must have equal length

c. A and B must point in opposite direction

d. A and B must point in the same direction.

e. A and B must be at right angle to each other

The resultant of two parallel vectors is given as the sum of the two vectors. This is calculated by adding the magnitudes of the two vectors together provided they are in the same direction or subtracting the magnitudes from each other if they are in opposite direction.

Hence, for two vectors A and B whose relationship (the resultant) is given as A + B = C, it simply means the two vectors are facing the same direction.

The correct option is d.

Answer 2

The correct statement in the given options is A and B must be at right angle to each other.

"Your question is not complete; it seems to be missing the following information;"

a. A and B must be displacements

b. A and B must have equal length

c. A and B must point in opposite direction

d. A and B must point in the same direction.

e. A and B must be at right angle to each other.

The given parameters;

• vector A,
• vector B,
• the resultant vector C

The sum of two vectors is the resultant of the two vectors.

To obtain the resultant of two vectors, the two vectors must be drawn perpendicular to each other.

The shape formed will be a right triangle and the hypotenuse side of the right triangle is the resultant of the two vectors.

Thus, the correct statement in the given options is A and B must be at right angle to each other.

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