3. Vectors

A spelunker is surveying a cave. She follows a passage 180 m straight west, then 210 m in a direction 45° east of south, and then 280 m at 30° east of north. After a fourth displacement, she finds herself back where she started. Use a scale drawing to determine the magnitude and direction of the fourth displacement.

For the vectors A and B in Fig. E1.24, use a scale drawing to find the magnitude and direction of

(b) the vector difference A − B.

For the vectors A and B in Fig. E1.24, use a scale drawing to find the magnitude and direction of (a) the vector sum A + B

b. Use geometry and trigonometry to determine the magnitude and direction of G = E＋F.

Let A = 2i + 3j, B = 2i - 4j, and C = A + B. (b) Draw a coordinate system and on it show vectors A, B, and C

Let A = 4i - 2j, B = -3i + 5j, and D = A - B. (b) Draw a coordinate system and on it show vectors A, B, and D