Find the Length and Direction (When Defined) of U ×

question 81

Multiple Choice

Find the length and direction (when defined) of u × v.
- $\mathbf { u } = - \frac { 1 } { 2 } \mathbf { i } + \frac { 3 } { 2 } \mathbf { j } + \mathbf { k } , \mathbf { v } = \mathbf { i } + \mathbf { j } + 2 \mathbf { k }$

• A) \(2 \sqrt { 2 } ; - \frac { \sqrt { 2 } } { 2 } \mathbf { i } + \frac { \sqrt { 2 } } { 2 } j - \frac { \sqrt { 2 } } { 2 } \mathbf { k }\)
• B) \(8 ; \frac { 1 } { 4 } \mathbf { i } - \frac { 1 } { 4 } \mathrm { j } + \frac { 1 } { 2 } \mathbf { k }\)
• C) \(2 \sqrt { 3 } ; \frac { \sqrt { 3 } } { 3 } \mathbf { i } + \frac { \sqrt { 3 } } { 3 } \mathbf { j } - \frac { \sqrt { 3 } } { 3 } \mathbf { k }\)
• D) \(8 ; \frac { 1 } { 2 } \mathbf { i } - \frac { 1 } { 4 } \mathbf { j } - \frac { 1 } { 4 } \mathbf { k }\)

Discuss the efficiency of public versus private bureaucracies in resource utilization.

Comprehend the fiscal and monetary policy tools of the government and their implications for economic management.

Understand the impact of race on the history of nations and the dynamics of empires.

Analyze the ideological clash between free labor and slave labor.

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