Question

Q7 Q24.) Write the vector v in terms of i and j whose magnitude || v || and direction θ are given.

Answer 1

i-component: |v|cos(theta)=-14/sqrt(2)=-7sqrt(2)

j-component: |v|sin(theta)=-14/sqrt(2)=-7sqrt(2)

v=-7(sqrt(2))i - 7(sqrt(2))j

 

Answer 2

V=|v|(i cosθ + j sinθ)
=14(i cos225 + j sin225)
=14(-$\frac{ \sqrt{2} }{2}$ i + -$\frac{ \sqrt{2} }{2}$ j)
=(-7$\sqrt{2}$ i + -7$\sqrt{2}$ j)