Component Form of a Vector Worksheet with Answer Key

What's on the worksheet

1. Write PQ in component form.
2. x y u v w z The grid shows four arrows, labeled u, v, w and z.
3. Find the unknowns that make the two vectors equal, and name the vector.
   \langle x - 4,\ 3y \rangle = \langle -1, 12 \rangle\langle 3x - 2,\ y + 4 \rangle = \langle x + 6,\ 7 - 2y \rangle\langle 2x,\ x + 1 \rangle = \langle 6, 5 \rangle
4. The vector v = -5, 2 is drawn with its head at H(6, 6).
5. Arjun is asked for the tail of the drawing of 4, -3 whose head is (1, 2).
6. A theater stage has a grid in meters with its origin at center stage.
7. Label the squares of a chessboard by points (x, y), with x and y whole numbers from 1 to 8.