Find the Projection Of $\mathbf { u }$ Onto $\mathbf { v }$

question 19

Multiple Choice

Find the projection of $\mathbf { u }$ onto $\mathbf { v }$ if $\mathbf { u } = \langle 2 , - 1 \rangle , \mathbf { v } = \langle 5,2 \rangle$ .

• A) \(\left\langle \frac { 40 } { \sqrt { 29 } } , - \frac { 8 } { \sqrt { 29 } } \right\rangle\)
• B) \(\left\langle \frac { 16 } { \sqrt { 29 } } , \frac { 40 } { \sqrt { 29 } } \right\rangle\)
• C) \(\left\langle \frac { 16 } { \sqrt { 29 } } , - \frac { 8 } { \sqrt { 29 } } \right\rangle\)
• D) \(\left\langle \frac { 16 } { \sqrt { 29 } } , \frac { 16 } { \sqrt { 29 } } \right\rangle\)
• E) \(\left\langle \frac { 40 } { \sqrt { 29 } } , \frac { 16 } { \sqrt { 29 } } \right\rangle\)

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Definitions:

Results With Objectives

A performance management approach focusing on achieving specific outcomes or objectives within a set timeframe.

Engineering

The application of scientific and mathematical principles to practical ends such as the design, manufacture, and operation of efficient and economical structures, machines, processes, and systems.

Controlling

The management function of monitoring performance, comparing it against goals, and implementing necessary adjustments to achieve objectives efficiently.

Measuring Performance

The process of evaluating the efficiency and effectiveness of actions or operations, often through the use of key performance indicators (KPIs) and metrics.