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