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

question 108

Multiple Choice

Use the vectors u and v to find u × (2v) . $\mathbf { u } = 6 \mathbf { i } - \mathbf { j } + 7 \mathbf { k } \quad \mathbf { v } = 5 \mathbf { i } + 5 \mathbf { j } - \mathbf { k }$

• A) \(\mathbf { u } \times ( 2 \mathbf { v } ) = - 68 \mathbf { i } + 82 \mathbf { j } + 82 \mathbf { k }\)
• B) \(\mathbf { u } \times ( 2 \mathbf { v } ) = - 68 \mathbf { i } + 82 \mathbf { j } + 70 \mathbf { k }\)
• C) \(\mathbf { u } \times ( 2 \mathbf { v } ) = - 68 \mathbf { i } + 70 \mathbf { j } + 70 \mathbf { k }\)
• D) \(\mathbf { u } \times ( 2 \mathbf { v } ) = 82 \mathbf { i } + 82 \mathbf { j } + 70 \mathbf { k }\)
• E) \(\mathbf { u } \times ( 2 \mathbf { v } ) = 70 \mathbf { i } + 82 \mathbf { j } + 70 \mathbf { k }\)

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Definitions:

Compounded Semi-annually

The process of calculating interest on both the initial principal and the accumulated interest from previous periods twice a year.

Compounded Monthly

Compounded monthly refers to the process where interest is calculated and added to the principal sum every month, effectively increasing the total amount at a quicker pace.

Amortization Period

The total time period over which a loan or mortgage is scheduled to be paid off, often through regular payments.

Compounded Quarterly

Interest on an investment or loan is calculated and added to the principal once every three months.