V₂ = 12 units 60° y V₁ = 10 units PROBLEM 1/2 3 - X M 1 SS For the given vectors V₁ and V₂ of Prob. 1/2, de- termine the magnitude of the vector difference V' =V₂ - V₁ and the angle ex which V' makes with the positive x-axis. Complete both graphical and algebraic solutions.

Vector A measures 1.20m and angles 30° above the x-axis in the first quadrant. Vector B extends 3.20m and is angled 30° beneath the x-axis in the fourth quadrant. a. Determine the magnitude and direction of A + Bb. Determine the magnitude and direction of A – B

Each of the following vectors is given in terms of its x- and y-components. Find the magnitude of vector à and the angle it makes with respect to the positive x-axis, measured counterclockwise, when Ax = 4.00 and Ay = -4.00. A = Find the magnitude of vector B and the angle 0 it makes with respect to the positive x-axis, measured counterclockwise, when Bx = -3.00 and By = 3.00. B = 0A = C = ов = Find the magnitude of vector and the angle 0c it makes with respect to the positive x-axis, measured counterclockwise, when Cx = 0.00 and Cy = -2.00. 0c =

Please asap

Consider two vectors A and B. À = 11 + 13Ĵ and B = 14î - 16) Find the unit vector that points in the same direction as the vector A + 2B. Write the unit vector in the form 1 √ (U‚Î + U‚}) N = = U₁ =

Vector C has a magnitude of 22.2 m and points in the –y- direction. Vectors A and B both have positive y-components, and make angles of a = 43.9° and B = 27.2° with the positive and negative x-axis, respectively. If the vector sum A + B +C = 0, what are the magnitudes of A and B? A B a JA| = m |B| m Figure is not to scale.

Given the vectors Ā = (-2î + j) m and B = (4î – j) m. The magnitude of the resultant vector R = 2Ã + B is O a. R = 3 m O b.R = 1 m OC.R = V5 m O d.R = V10 m

y 'n 0, > X Us What is the resultant magnitude vectors if: U1 = 39 meters at 45 degrees u2 = 56 meters at 67 degrees above the -x axis %3D u3 = 39 meters at 45 degrees east of south %3D Give your answer as a whole number of meters (no decimal places).

Current Attempt in Progress Vector A has a magnitude of 7.27 units and points due east. Vector 3 points due north. (a) What is the magnitude of , if the vector A + B points 50.3 ° north of east? (b) Find the magnitude of A + B. (a) Number (b) Number i Units Units

Assuming the +x-axis is horizontal and points to the right, resolve the vectors given in the following figure to their scalar components and express them in vector component form. yA 1. 60° A = 10.4 30° 30° 20.2 6 D = 20.2 53 37° A = В - F = C = 12.4 B = 5.4