Question

The addition, subtraction, and multiplication of vectors can take place by usual methods when they are parallel. Why?

a) Because parallel vectors have the same magnitude and direction.
b) Because parallel vectors have opposite directions.
c) Because perpendicular vectors can be treated as scalars.
d) Because vectors are always parallel in a vector space.

Answer 1

Parallel vectors have the same magnitude and direction, allowing for addition, subtraction, and multiplication using usual methods.

Step-by-step explanation:

When vectors are parallel, their addition, subtraction, and multiplication can be done using usual methods. This is because parallel vectors have the same magnitude and direction. For addition and subtraction, the magnitudes and directions of the vectors are simply added or subtracted. For multiplication, the scalar value is multiplied by the magnitude of the vector while keeping the same direction.