Answer to Question #81063 in Mechanics | Relativity for Aygo

Question

Consider the two vectors A with arrow = 5 î − 3 ĵ and B with arrow = − î − 4 ĵ.
(a) Calculate A with arrow + B with arrow
î + ĵ

(b) Calculate A with arrow − B with arrow
î + ĵ

(c) Calculate

A with arrow + B with arrow




(d) Calculate

A with arrow − B with arrow




(e) Calculate the directions of A with arrow + B with arrow and A with arrow − B with arrow.
A with arrow + B with arrow ° (counterclockwise from the +x axis)
A with arrow − B with arrow ° (counterclockwise from the +x axis)

Answer 1

Consider the two vectors A with arrow = 5 î − 3 ĵ and B with arrow = − î − 4 ĵ.
(a) Calculate A with arrow + B with arrow
Answer: 4 î -7 ĵ
(b) Calculate A with arrow − B with arrow
Answer: 6î +1 ĵ
(c) Calculate
A with arrow + B with arrow
Answer: 4 î -7 ĵ
(d) Calculate
A with arrow − B with arrow
Answer: 6î +1 ĵ
(e) Calculate the directions of A with arrow + B with arrow and A with arrow − B with arrow.
Answer:
A with arrow + B with arrow 300° (counterclockwise from the +x axis)
A with arrow − B with arrow 9.5° (counterclockwise from the +x axis)