Find the Length and Direction (When Defined) of U × $6 \sqrt { 5 } ; \frac { 2 \sqrt { 5 } } { 5 } \mathbf { i } + \frac { \sqrt { 5 } } { 5 } \mathbf { k }$

question 216

Multiple Choice

Find the length and direction (when defined) of u × v.
-u = 4i + 2j + 8k, v = -i - 2j - 2k

• A) \(6 \sqrt { 5 } ; \frac { 2 \sqrt { 5 } } { 5 } \mathbf { i } + \frac { \sqrt { 5 } } { 5 } \mathbf { k }\)
• B) \(180 ; \frac { 2 \sqrt { 5 } } { 15 } \mathbf { i } + \frac { \sqrt { 15 } } { 15 } \mathbf { j } + \frac { \sqrt { 5 } } { 15 } \mathbf { k }\)
• C) \(6 \sqrt { 5 } ; \frac { 2 \sqrt { 5 } } { 5 } \mathbf { i } - \frac { \sqrt { 5 } } { 5 } \mathbf { k }\)
• D) \(180 ; \frac { 1 } { 15 } \mathbf { i } + \frac { 1 } { 30 } \mathbf { k }\)

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