Question

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

a (-2,2,-5): 43
c. 42,2,-5):33
b. (1155): 43
d. (1-5): 3/3
Please select the best answer from the choices provided
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Answer 1

D

Explanation:

Edge2021

Answer 2

(D)

`\overrightarrow{TM} = < 1, -1, 5 >\\|TM|= 3√(3)`

Explanation:

Given T(-2,4,7) and M(-3,5,2)

`\overrightarrow{TM} = \underline{m} - \underline{t}` where m and t are position vectors.
`= <- 2, 4, 7 > - < -3, 5, 2> $ (Subtract corresponding components )$\\= < -2+3, 4- 5, 7-2 >\\= < 1, -1, 5 >`

Given v=<x,y,z>, then the magnitude of v is:

`|v| = √(x^2+y^2+z^2), $thus$\\|TM| = √((1)^2+(-1)^2+(5)^2)\\= √(1+1+25)\\ = √(27) \\= √(9*3) \\|TM|= 3√(3)`