Question

Vector v has magnitude5 units, w has magnitude 3, and the acute angle between them is 45°.

b. What is the magnitude of the scalar multiple −5v?

Answer 1

25 units

Explanation:

No matter the direction of the vector, if we multiply the vector v by -5v, the magnitude can be calculated as follows:

`|-5*V|`

Due to properties of absolute value:

`|-5*V|=5*|V|=5*(5units) = 25 units`