Write the Vector V in the Form Ai + Bj $$\| v \| = 7 , \alpha = 270 ^ { \circ }$$

question 129

Multiple Choice

Write the vector v in the form ai + bj, given its magnitude v and the angle  it makes with the positive x-axis.
- $$\| v \| = 7 , \alpha = 270 ^ { \circ }$$

• A) \(\mathbf { v } = - 7 \mathbf { i }\)
• B) \(\mathbf { v } = - 7 \mathrm { i } + 7 \mathrm { j } )\)
• C) \(\mathbf { v } = - 7 \mathbf { i } - 7 \mathbf { j }\)
• D) \(\mathbf { v } = - 7 \mathrm { j }\)

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Definitions:

Exponentiation

A mathematical operation involving two numbers, the base and the exponent, indicating how many times the base is multiplied by itself.

Principle Amount

The original sum of money borrowed in a loan or put into an investment.

Time

A continuous, measurable quantity in which events occur in a sequence from the past through the present to the future.

Simple Interest

Interest computed on the original sum of a loan or deposit, not including the effects of compounding throughout the duration.