Find the Vector Projv U $\frac { 141 } { 19 } \mathbf { i } - \frac { 47 } { 19 } \mathrm { j } + \frac { 141 } { 19 } \mathbf { k }$

question 126

Multiple Choice

Find the vector projv u.
-v = 3i - j + 3k, u = 10i + 11j + 2k

• A) \(\frac { 141 } { 19 } \mathbf { i } - \frac { 47 } { 19 } \mathrm { j } + \frac { 141 } { 19 } \mathbf { k }\)
• B) \(\frac { 50 } { 3 } \mathrm { i } + \frac { 55 } { 3 } \mathrm { j } + \frac { 10 } { 3 } \mathrm { k }\)
• C) \(\frac { 75 } { 19 } \mathbf { i } - \frac { 25 } { 19 } \mathbf { j } + \frac { 75 } { 19 } \mathbf { k }\)
• D) \(\frac { 10 } { 9 } \mathrm { i } + \frac { 11 } { 9 } \mathrm { j } + \frac { 2 } { 9 } \mathbf { k }\)

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Definitions:

Income

The amount of money received by an individual or entity, usually in exchange for labor or services, or through returns on investments.

Utility Function

A mathematical representation in economics that quantifies the satisfaction or happiness derived by a consumer from consuming goods and services.

Substitution Effect

The economic principle that as the price of a good rises, consumers will replace it with cheaper alternatives.

Income

The financial gain received by an individual or entity, typically through wages, investments, or business operations.