Question

a magnitude of 24 units and points in the positive y-direction. When vector ί is added to A, the resultant vector A·ί points in the Mgative rdirection with a martude of 14 units, Find the magnitude of Censider the two vectors A-si-3j and B-I-2j. Calculate A+ (D) Cakculate X - B (c) Calculate A B (d) Calculate A-B (e) Calculate the directions at A + B and A- A-B A-B (counterclockwise from the x asis) (counterclockwise from the asis) Need Help?Min

Answer 1

A^rightarrow = 24 j A^rightarrow + B^rightarrow = -14 j let B^rightarrow = 2 i + y j therefore A^rightarrow + B^rightarrow = xi + (24 + y) j = -14 j therefore x = 0 and 24 + y = -14 y = -38 therefore B^rightarrow = -38 j therefore Magnitude of B^rightarrow = 38 7) A^rightarrow = 5 I- 3 j, B^rightarrow = -i- 2 j a) A^rightarrow + B^rightarrow = (5- 1) i + (- 3- 2) j = 4 i + - 5 j b) A^rightarrow- B^rightarrow = (5 + 1) i + (- 3 + 2) j = 6 i + - 1 j c) Vertical-bar A^rightarrow + B^rightarrow = squareroot (4)^2 = (- 5)^2 = squareroot 16 + 25 = squareroot 41 = 6.403 d) Vertical-bar A^rightarrow- B^rightarrow Vertical-bar = squareroot (6)^2 + (- 1)^2 = squareroot 36 + 1 = squareroot 37 = 6.083 e) tan^-1 (y/x) = tan^-1 (- 5/4) = -51.3 degree