Calculus and vectors (GEOMETRIC VECTORS)

Please show all work leading to answer

1. Write the following true bearings as quadrant bearing:

a) 70 b) 330 c) 240

2. Write the following quadrant bearings as true bearings:

a) S 30 E b) N 80 W c) S 45 W

3.

2. Square ABCD is drawn as shown below with the diagonals intersecting at E. B C E A D a. State four pairs of equivalent vectors. b. State four pairs of opposite vectors. c. State two pairs of vectors whose magnitudes are equal but whose directions are perpendicular to each other.1.2 Practice Vector Addition 1. The vectors .X and y are drawn as shown below. Draw a vector equivalent to each of the following. bj i- y cy- i dj (-))+ (-1) 2. Draw arrows on the sides of triangle AABC and give a single vector equivalent for each of the following a) BC + CA b) AB + BC + CA C) AB - AC d) -BC + BA 3. Given the vectors d, b, and &, construct vectors equivalent to each of the following. ald+b+c bla+b-d ca-b-a dj d-6+8