What is $| | < - 1, 9, - 2 > - < 9, - 4, 1 > | |$ $|| <-1, 9, -2 > - < 9 , -4, 1 > ||$ ?

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What is $| | < - 1, 9, - 2 > - < 9, - 4, 1 > | |$ $|| <-1, 9, -2 > - < 9 , -4, 1 > ||$ ?

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Answer 1 · 2016-03-28T22:48:12

$| V_{r} | = \sqrt{278} \approx 16.67$ $|V_r|= sqrt(278)~~16.67$

Explanation:

This effectively asking you to find the magnitude of the vector sum.
Solution Strategy:
1) Perform vector addition (subtraction)
2) Compute the magnitude of the new vector, $V_{r}$ $V_r$
Let $\to V_{1} = - i + 9 j - 2 k, and \to V_{2} = 9 i - 4 j - k$ $vec(V_1) = -i+9j-2k, and vec(V_2) = 9i-4j-k$
Then 1)
$V_{r} = V_{1} - V_{2} = - i + 9 j - 2 k - (9 i - 4 j - k)$ $V_r = V_1 - V_2=-i+9j-2k -(9i-4j-k)$
$V_{r} = (- 1 - 9) I + (9 - (- 4) j + (- 2 - 1) k$ $V_r=(-1-9)I+(9-(-4)j +(-2-1)k$
$V_{r} = - 10 i + 13 j - 3 k$ $V_r= -10i+13j-3k$
and 2)
$| V_{r} | = \sqrt{(- 10^{2} + 13^{2} + 3^{2})} = \sqrt{278}$ $|V_r| = sqrt[(-10^2+13^2+3^2) ]= sqrt[278]$

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What is $| | < - 1, 9, - 2 > - < 9, - 4, 1 > | |$ $|| <-1, 9, -2 > - < 9 , -4, 1 > ||$ ?

1 Answer

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What is ||<−1,9,−2>−<9,−4,1>|||| <-1, 9, -2 > - < 9 , -4, 1 > ||?

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What is $| | < - 1, 9, - 2 > - < 9, - 4, 1 > | |$ $|| <-1, 9, -2 > - < 9 , -4, 1 > ||$ ?