Write the Vector V in the Form Ai + Bj $$\| \mathbf { v } \| = 15 , \alpha = 45 ^ { \circ }$$

question 154

Multiple Choice

Write the vector v in the form ai + bj, given its magnitude v and the angle α it makes with the positive x-axis.
- $$\| \mathbf { v } \| = 15 , \alpha = 45 ^ { \circ }$$

• A) \(v = 15 \left( \frac { 15 \sqrt { 3 } } { 2 } \mathbf { i } + \frac { 15 } { 2 } \mathbf { j } \right)\)
• B) \(\mathbf { v } = 15 \left( \frac { 15 } { 2 } \mathbf { i } + \frac { 15 \sqrt { 3 } } { 2 } \mathbf { j } \right)\)
• C) \(v = 15 \left( - \frac { \sqrt { 2 } } { 2 } \mathrm { i } - \frac { \sqrt { 2 } } { 2 } \mathrm { j } \right\}\)
• D) \(\mathbf { v } = 15 \left( \frac { \sqrt { 2 } } { 2 } \mathrm { i } + \frac { \sqrt { 2 } } { 2 } \mathrm { j } \right)\)

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Definitions:

Adjusting Entry

Journal entries made at the end of an accounting period to allocate income and expenses to the period in which they actually occurred.

Balance Sheet Account

An account found on the balance sheet, which is one of the three principal financial statements; these accounts include assets, liabilities, and shareholders' equity.

Depreciation Expense

The portion of the cost of an asset that is allocated as an expense over its useful life, reflecting the decrease in value over time.

Overstate Assets

Reporting a company's assets at a value higher than their actual worth, which can inaccurately represent financial health.