Question

5. You are given thee vectors A has a magitude of 14.6 and is at an angle of 40 countrcokowise fom the positivex-axis, Bhas amagnitude of 43 and malkes an angle 20" counterclockwise of the postiv yaxis Chas a magitude of 7.2 and makes an angle of 150 clockwise from the positive x axis. a. Get the andy components of A, and C. b. Write the three vectors with unit vector notation c. Calculate the fllowing using unit vector notation: (A+B), (A-C) (ЗАНЕ).and(-24-4B + С). d. Write the ecor for BA-Cin Magnitude and angle form.

Answer 1

Vertical-bar A Vector Vertical-bar = 14.6 Angle rightarrow 40 degree (counter clockwise with x-axis) Vertical-bar B Vector Vertical-bar = 4.3 Angle rightarrow 20 degree (counter clockwise with y-axis) Vertical-bar C Vector Vertical-bar = 7.5 Angle rightarrow 15 degree (counter clockwise with x-axis) x - component of A Vector = 14.6 cos 40 degree = 11.18 i^hat y - component of A Vector = 14.6 sin 40 degree = 9.38 j^hat x - component of B Vector = 4.3 sin 20 degree = -1.471 i^hat y - component if B Vector = 4.3 cos 20 degree = 4.041 j^hat x - component if C Vector = 7.2 cos 15 degree = 6.95 i^hat y - component if C Vector = 7.2 sin 15 degree = 1.86 j^hat A Vector = 11.86 j^hat + 9.38 j^hat B Vector = -1.471 i^hat + 4.041j^hat C Vector = 6.95 i^hat + 1.86 j^hat A Vector + B Vector = 9.709 i^hat + 13.421 j^hat