Let A = 4i - 2j, B = -3i + 5j, and F = A - 4B. (a) Write vector F in component form.

Draw each of the following vectors, label an angle that specifies the vector's direction, then find its magnitude and direction. (a) B = -4.0i + 4.0j

Draw each of the following vectors, label an angle that specifies the vector's direction, and then find the vector's magnitude and direction. (c) v = (14i - 11j) m/s

Draw each of the following vectors, label an angle that specifies the vector's direction, and then find the vector's magnitude and direction. (a) A = 3.0i + 7.0j

Let A = (3.0 m, 20° south of east), B = (2.0 m, north), and C = (5.0 m, 70° south of west).c. Find the magnitude and the direction of D = A＋B＋C.

Let A = 4i - 2j, B = -3i + 5j, and E = 2A + 3B. (c) What are the magnitude and director of vector E?

Let A = 4i - 2j, B = -3i + 5j, and C = A + B. (c) What are the magnitude and director of vector C?

Four forces are exerted on the object shown in FIGURE P3.45. (Forces are measured in newtons, abbreviated N.) The net force on the object is Fₙₑₜ = F₁ + F₂ + F₃ + F₄ = 4.0î N. What are (a) F₃ and (b) F₄? Give your answers in component form.

Let A = 4i - 2j, B = -3i + 5j, and F = A - 4B. (c) What are the magnitude and director of vector F?