Question

If vector u has its initial point at (-17, 4) and its terminal point at (8,-11), u= ? i + ? J. If v=14j, 2(u-v)= ? i + ? J

*the question marks stand for the blanks in the question

Answer 1

u=25i-15j

2(u-v)=50i-58j

Explanation:

Vector u has its initial point at (-17, 4) and its terminal point at (8,-11).

This implies that;

`u=\binom{8}{-11}-\binom{-17}{4}=\binom{25}{-15}`

u=25i-15j

If v=14j

Then

2(u-v)=2(25i-15j -14j)

2(u-v)=2(25i-29j)

2(u-v)=50i-58j