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3 years ago

Given T(3,-5,6) and M(-1,1,2) find The ordered triple that represents TM. Then find the magnitude of TM.

Mathematics

1 answer:

AVprozaik [17]3 years ago

7 0

Answer:

see explanation

Step-by-step explanation:

TM = m - t ( m and t are position vectors )

= < - 1, 1, 2 > - < 3, - 5, 6 > ( subtract corresponding components )

= < - 1 - 3, 1 + 5, 2 - 6 >

= < - 4, 6, - 4 >

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

| v | = $\sqrt{x^2+y^2+z^2}$ , thus

| TM | = $\sqrt{(-4)^2+6^2+(-4)^2}$

= $\sqrt{16+36+16}$ = $\sqrt{68}$ = $\sqrt{4(17)}$ = 2 $\sqrt{17}$

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