Find a + b, a − b, 4a + 5b, 4a − 5b, and ||a||.

Question

a=-(5,-6), b=3(0,-6)

a + b	=
a − b	=
4a + 5b	=
4a − 5b	=
||a||	=

Answer 1

The first 4 expressions are straightforward. You do what they say for each component of the a and b vectors, e.g.,

4a + 5b = (4a_x+5b_x, 4a_y+5b_y) after you've adjusted for the - and the 3: a=(-5,6) and b=(0,-18)

In this case, I get (-20+0, 24-90) or (-20, 66)

The last queston is looking for the magnitude or length of the vector, which is sqrt(a_x² + a_y²)

Good luck!