Question

HELP FAST PLEASE!

Answer 1

Given a scalar number $a$ and a vector v, the product between $a$ and v is a vector, with
- magnitude given by the product between the absolute value of $a$ and the magnitude of v
- direction given by the sign of $a$: if a is positive, the final vector has same direction of v; if a is negative, the final vector has opposite direction to v.


In our problem, the scalar number is $- \frac{\pi}{4} =- \frac{3.14}{4}=-0.79$. This means that the product between the vector and this number:
- has magnitude equal to $|-0.79| = 0.79$ times the magnitude of the vector
- has opposite direction with respect to the original vector (because the scalar $a$ is negative)

Therefore, the correct answer is
B.) The vector will change direction and decrease in magnitude.