Question

Find the magnitude of WX for W(-2, 8, -3) and X(1, 4, -1)

Answer 1

The magnitude of WX is  $\sqrt{29}$  ⇒ c

Step-by-step explanation:

The magnitude of XY (its length) where,

• $X=(x_{1},y_{1},z_{1})$
• $Y=(x_{2},y_{2},z_{2})$

is IXYI = $\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}+(z_{2}-z_{1})^{2}}$

∵ W = (-2 , 8 , -3)

∵ X = (1 , 4 , -1)

- To find the magnitude of WX use the formula above

∴ $x_{1}$ = -2 and $x_{2}$ = 1

∴ $y_{1}$ = 8 and $y_{2}$ = 4

∴ $z_{1}$ = -3 and $z_{2]$ = -1

- Substitute these values in the rule above

∵ IWXI = $\sqrt{(1--2)^{2}+(4-8)^{2}+(-1--3)^{2}}=\sqrt{9+16+4}$

∴ IWXI = $\sqrt{29}$

The magnitude of WX is  $\sqrt{29}$

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Answer 2

Answer:

Step-by-step explanation:

D