Question

g Vector has a magnitude of 10.9 units and points due west. Vector points due north. (a) What is the magnitude of if + has a magnitude of 15.7 units? (b) What is the direction of + relative to due west? (c) what is the magnitude of if - has a magnitude of 15.7 units? (d) What is the direction of - relative to due west?

Answer 1

a. 11.3 units

b. 46.031°

c. 11.3 units

d. 46.03°

Step-by-step explanation:

a. magnitude

B =
`\sqrt{R^(2)-A^(2) }`

= √15.7² - 10.9²

= √127.68

= 11.3 units

b. direction

θ = cos⁻¹(10.9units/15.7 units)

= 46.031⁰ north of west

c. thge magnitude at 15.7 units is the same as solution a above

15.7² = 10.9² + B²

B = 11.3 units.

d. the direction is same as answer b.

θ = 46.031°

but the vector faces south of west