m. Consider the three displacement vectors Ā = (3ỉ – 3 j) m, Ẻ = (i − 4j) m, Ċ = (−21+5j) Use the component method to determine (a) the magnitude and direction of D = Ã + B + Č and (b) the magnitude and direction of Ď = −Ā – B + Č. Express the direction in terms of the angle relative to the positive x axis.

20.0° +y y c (a) Number 160 B 60.0⁰ (b) Number i The three displacement vectors in the drawing have magnitudes of A = 5.14 m, B = 5.67 m, and C = 3.04 m. Find the resultant ((a) magnitude and (b) directional angle) of the three vectors by means of the component method. Express the directional angle as an angle above the positive or negative x axis which is less than 90°. +x Units Units <

A 20.0° SALA +y C 160 60.0⁰ (a) Number i B (b) Number i The three displacement vectors in the drawing have magnitudes of A = 5.98 m, B = 6.75 m, and C = 4.20 m. Find the resultant ((a) magnitude and (b) directional angle) of the three vectors by means of the component method. Express the directional angle as an angle above the positive or negative x axis which is less than 90°. +x Units Units

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

m Let B = 5.05 m at 60.0°. C and A have equal magnitudes. The direction angle of Ĉ is larger than that of A by 25.0°. Let A · B = magnitude . . 29.1 m² and B C = 36.3 m². Find the magnitude (in m) and direction (in degrees) of A. direction

Problem 8: Consider two vectors A and B, expressed in unit vector notation as A= aji+ azj and B = bji+ bzj. A. Part (a) Enter an expression for the vector sum A + B in terms of quantities shown in the expressions above. A+B = B 7 8 HOME a i j k 4 5 6 a1 a2 bị 1 2 3 b2 d + END - h VO BACKSPACE CLEAR m DEL Submit Hint Feedback I give up! Hints: 0% deduction per hint. Hints remaining: 2 Feedback: 0% deduction per feedback. Part (b) Enter an expression for the difference vector A - B in terms of quantities shown in the expressions above. Part (c) Enter an expression for the square of the magnitude of the sum vector |A + B| in terms of quantities shown in the expressions above.

Vector CC has a magnitude of 22.222.2 m and points in the −?‑−y‑direction. Vectors AA and BB both have positive ?‑y‑components, and make angles of α=43.9°α=43.9° and β=27.2°β=27.2° with the positive and negative ?-x-axis, respectively. If the vector sum A+B+C=0A+B+C=0, what are the magnitudes of AA and 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 =

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