Given vectors urightarrow 5 3 and Vrightarrow 3 6 Find 4ur

Given vectors u^rightarrow = (5, -3) and V^rightarrow = (-3, -6), Find 4u^rightarrow. v^rightarrow = (-32, -12) v^rightarrow = (32, 12) v^rightarrow = (8, 36) v = (-12, -37) v^rightarrow = (12, 32) Find the sum of vectors u^rightarrow = -6c^rightarrow = 2j^rightarrow and v^rightarrow = 2i^rightarrow + 4j^rightarrow. v^rightarrow =-8^rightarrow + 6j^rightarrow v^rightarrow = 4j^rightarrow + 2j^rightarrow v^rightarrow = 6i^rightarrow - 8j^rightarrow v = 4i^rightarrow - 4j^rightarrow v^rightarrow = 2i^rightarrow - 4j^rightarrow

Solution

Vector u =(5,-3)= 5i -3j

Vector v= (-3,-6)=-3i -6j

4u-4v= 4(5i-3j)- 4(-3i-6j)= 20i -12j +12i +24j= 32i +12j

Therefore 4u- 4v=(32,12)

Correct option is b.

2. vector v=2i +4j

Vector u= -6i-2j

u+v= -4i +2j

Correct option is b