(6.9 * 10-6)(770 * 102)

4948020

Explanation:

(6.9*10-6)(770*102)

Multiply  6.9  by  10 .

( 69 − 6 ) ( 770 ⋅ 102 )

Subtract  6  from  69 .

63 ( 770 ⋅ 102 )

Multiply  770  by 102 .

63 ⋅ 78540

Multiply  63  by  78540 .

4948020

see the picture for the vector

the magnitude of the vector by pythagorean theorem

r = √( (-10)^2 + (3)^2 ) = √109

magnitude = √109 units

the direction angle between vector and x-axis is

tan^(-1)(3/10) = 16.699

so the direction is approximately 16.7 degrees north of west