Vectors and Dot Products

Given the initial and terminal points, write as a position vector (v in terms of i and j) and find its magnitude.

P₁= (2, -1), P₂ = (5, -3)

• v = 3i - 2j

• v = -3i + 2j

• v = -2i + 3j

• v = 2i - 3j

Given the initial and terminal points, write as a position vector (v in terms of i and j) and find its magnitude.

P₁ = (-3, 0), P₂ = (-2, -2)

• v = -i + 2j

• v = 2i - j

• v = i - 2j

• v = -2i + j

u + v

• 4i - j

• 6i + j

• 3j + 4j

• i + 6j

v - w

• -6i + 2j

• 6i - 2j

• 2i - 6j

• -2i + 6j

2w - 3v

• -3i + 11j

• -2i + 6j

• 3i - 11j

• 11i - 3j

||2w - 3v||

• square root of 130

• square root of 40

• 130

• 40

Find the unit vector that has the same direction as the vector v.

v = 3i - 4j

• (3/5)i + (4/5)j

• (3/5)i - (4/5)j

• (4/5)i - (3/5)j

• (4/5)i + (3/5)j

u*v

• -82

• -58

• 82

• 58

2w*3v

• 414

• 594

• -414

• 504

4w*-3u

• -1680

• 1200

• -1200

• 1680