Answer:
Component Form: v = <-1,6>
Magnitude of v: ||v|| = √37
Direction of v: θv = 100° (to the nearest degree)
Step-by-step explanation:
Component Form: v = <(5-6),(3-(-3))> = <-1,6>
Magnitude of v: ||v|| = √[(-1)²+(6)²] = √(1+36) = √37
Direction of v: α = tan⁻¹|6/-1| = tan⁻¹|-6| = tan⁻¹(6) = 80.53° which is your reference angle, but to verify that the angle is in the second quadrant, you'll need to do θv = 180° - 80.53° = 99.47°, therefore your direction angle is θv=100° to the nearest degree.
Y is less than or equal to 4, y is less than or equal to 14, x is less than or equal to 10, x is less than or equal to 20
Answer:
a = 1/8
b = 8
Step-by-step explanation:
a (1/2) ^3 = (1/2) *(1/2) * (1/2) = 1/8
b( 1/2 ) ^ -3 The negative exponent means 1 / (1/2)^3 = 1/ (1/8) = 8
A=4πr^2 or in other words 4(3.14)r^2 (^2 stands for squared)