Solve Applied Problems Involving Vectors
-The Magnitude and Direction of Two

question 175

Multiple Choice

Solve Applied Problems Involving Vectors
-The magnitude and direction of two forces acting on an object are 35 pounds, $\mathrm { N } 45 ^ { \circ } \mathrm { E }$ , and 55 pounds, $\mathrm { S } 30 ^ { \circ } \mathrm { E }$ , respectively. Find the magnitude, to the nearest hundredth of a pound, and the direction angle, to the nearest tenth of a degree, of the resultant force.

• A) \(\mid \mathbf { F } \| = 57.04 ; \quad \theta = - 23.6 ^ { \circ }\)
• B) \(\| \mathbf { F } \| = 65.19 ; \theta = - 7.5 ^ { \circ }\)
• C) \(\mid \mathbf { F } \| = 43.30 ; \theta = 2.7 ^ { \circ }\)
• D) \(| \mathbf { F } | = 49.17 ; \theta = - 11.3 ^ { \circ }\)

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Definitions:

Maturity

The date on which a financial obligation or investment becomes due for payment.

Face Value

The nominal value stated on financial instruments, such as bonds or stock certificates, representing the amount to be repaid at maturity.

Contract Rate

The predetermined price per unit of service or good agreed upon in a contractual agreement.

Market Rate

The prevailing rate of interest or value for currencies or goods in the marketplace, often influenced by supply and demand.