MATH SOLVE

4 months ago

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

Accepted Solution

A:

v=|v|(i cosθ + j sinθ)

=14(i cos225 + j sin225)

=14(-[tex] \frac{ \sqrt{2} }{2} [/tex] i + -[tex] \frac{ \sqrt{2} }{2} [/tex] j)

=(-7[tex] \sqrt{2} [/tex] i + -7[tex] \sqrt{2} [/tex] j)

=14(i cos225 + j sin225)

=14(-[tex] \frac{ \sqrt{2} }{2} [/tex] i + -[tex] \frac{ \sqrt{2} }{2} [/tex] j)

=(-7[tex] \sqrt{2} [/tex] i + -7[tex] \sqrt{2} [/tex] j)