Question

WILL GIVE ALL POiNTS IF ANSWERED CORRECTLY SOON! LIKE 30 MINS PLS

Answer 1

Answer:

Magnitude and Direction is 928 and 44

Step-by-step explanation:

For a Vector w = (x)i+(y)j

The Magnitude of w $=\sqrt{x^{2} +y^{2} }$

and the Direction of w $=tan^{-1}(\frac{y}{x} )$

So for our Question , w = - 168i - 160j

Then -4w = -4 (- 168i - 160j) = (-4*-168)i +(-4*-160)j = 672i + 640j

Then the Magnitude of -4w = $\sqrt{672^{2} +640^{2} } =928$

and the Direction of -4w = $tan^{-1}(\frac{640}{672} )=tan^{-1}(\frac{20}{21} )=44$ ( to the nearest whole number)

Hope it Helps:)