Answer
a) M = P + Q -> $45.607017 cm$
b) K = 2P - Q -> $39.39543121 cm$
Work Step by Step
a block = 4cm
Vector P: 5 blocks right, 2 blocks up
Vector Q: 6 blocks right, 5 blocks down
M = P + Q = 11 blocks right, 3 blocks down
11^2 + 3^2 = M^2
121 + 9 = M^2
M^2 = 130
M = sqrt (130) blocks
M = sqrt (130) * 4cm
M = 45.607017cm
K = 2P - Q = 4 blocks right, 9 blocks up
4^2 + 9^2 = K^2
16 + 81 = K^2
K^2 = 97
K = sqrt (97) blocks
K = sqrt (97) * 4cm
K = 39.39543121 cm
