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Solution: Vector A⃗ vec{A} has components Ax = 1.45 cm, Ay = 2.20 cm; vector B⃗ vec{B}has components Bx= 4.00 cm, By= -3.60 cm.Find the x-component of the vector sum A⃗ + B⃗.Find the y-component of the vector sum A⃗ + B⃗.Find the magnitude of A⃗ + B⃗.Find the direction of  A⃗ + B⃗. (Let the direction be the angle that the vector makes with the +x-axis, measured counterclockwise from that axis.)Find the x-component of the vector difference A⃗ − B⃗.Find the y-component of the vector difference A⃗ − B⃗.Find the magnitude of A⃗ − B⃗.Find the direction of A⃗ − B⃗.

Problem

Vector A⃗ has components A= 1.45 cm, Ay = 2.20 cm; vector B⃗ has components Bx= 4.00 cm, By= -3.60 cm.

Find the x-component of the vector sum A⃗ + B⃗.

Find the y-component of the vector sum A⃗ + B⃗.

Find the magnitude of A⃗ + B⃗.

Find the direction of  A⃗ + B⃗. (Let the direction be the angle that the vector makes with the +x-axis, measured counterclockwise from that axis.)

Find the x-component of the vector difference A⃗B⃗.

Find the y-component of the vector difference A⃗B⃗.

Find the magnitude of A⃗B⃗.

Find the direction of A⃗B⃗.