Vectors in Three-Dimensional Space

Given T(2, 5, 4) and M(3, 1, -4) find the ordered triple that represents TM. Then find the magnitude of TM.

(1, -4, -8) 9

Find an ordered triple to represent u in u=3v-2/3w+2z if v=(4, -3, 5), w=(2, 6, -1) and z=(3, 0, 4).

(16 2/3, -13, 23 2/3)

Find an ordered triple that represents 6y+4z if y=(2, 6, 8) and z=(7, -2, 6).

(40, 28, 72)

Find an ordered triple to represent u=3/4v-w if v=(4, -3, 5), w=(2, 6, -1), and z=(3, 0, 4).

a. (1, -8 1/4, 4 3/4)

Given T(0, 6, 3) and M(1, 4, -3) find the ordered triple that represents TM. Then find the magnitude of TM.

b. (1, -2, -6); sqrt41

Write EF as the sum of unit vectors E(-5, -2, 4) and F(6, -6, 6).

b. 11i-4j+2k

Given u=(5, -2, 3) and v=(1, 1, 2) find an ordered triple that represents 3u-2v.

c. (13, -8, 5)

Given T(-2, 4, 7) and M(-3, 5, 2) find the ordered triple that represents TM. Then find the magnitude of TM.

d. (-1, 1, -5); 3sqrt3

Given R(-2, 5, 8), S(3, 9, -3) find an ordered triple that represents RS and find the magnitude of RS.

d. (5, 4, -11), 9sqrt2

Find the magnitude of WX for W(3, -3, 1) and X(8, -3, -6).

sqrt74