Use the Vectors U and V to Find U · $\mathbf { u } = 6 - \mathbf { j } + 7 \mathbf { k } \quad \mathbf { v } = 5 \mathbf { i } + 5 \mathbf { j } - \mathbf { k }$

question 137

Multiple Choice

Use the vectors u and v to find u · (u × v) . $\mathbf { u } = 6 - \mathbf { j } + 7 \mathbf { k } \quad \mathbf { v } = 5 \mathbf { i } + 5 \mathbf { j } - \mathbf { k }$

• A) \(\mathbf { u } ( \mathbf { u } \times \mathbf { v } ) = 10\)
• B) \(\mathbf { u } ( \mathbf { u } \times \mathbf { v } ) = - 10\)
• C) \(\mathbf { u } \cdot ( \mathbf { u } \times \mathbf { v } ) = 9\)
• D) \(\mathbf { u } \cdot ( \mathbf { u } \times \mathbf { v } ) = - 9\)
• E) \(\mathbf { u } \cdot ( \mathbf { u } \times \mathbf { v } ) = 0\)

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Definitions:

Nondirectional Test

A hypothesis that does not predict the direction of the difference or association between variables, only that there is a difference.

One-Tailed Test

A statistical test that determines the probability of the observed data under the assumption that one end of the probability distribution is scrutinized.

Two-Tailed Test

A statistical hypothesis test in which the critical area of a distribution is two-sided and tests whether a sample is either greater than or less than a certain range of values.

Null Hypothesis

A statement suggesting that no statistical significance exists in a set of observations.