​Find the Projection of U onto V If $\mathbf { u } = \langle - 5 , - 4 \rangle$

question 5

Multiple Choice

​Find the projection of u onto v if , $\mathbf { u } = \langle - 5 , - 4 \rangle$ , $\mathbf { v } = \langle 2 , - 5 \rangle$ .

• A)​ \(\left\langle \frac { 20 \sqrt { 29 } } { 29 } , - \frac { 50 \sqrt { 29 } } { 29 } \right\rangle\)
• B)​ \(\left\langle - \frac { 50 \sqrt { 29 } } { 29 } , - \frac { 50 \sqrt { 29 } } { 29 } \right\rangle\)
• C)​ \[\left\langle - \frac { 50 \sqrt { 29 } } { 29 } , - \frac { 40 \sqrt { 29 } } { 29 } \right\rangle\]
• D)​ \[\left\langle - \frac { 20 \sqrt { 29 } } { 29 } , - \frac { 40 \sqrt { 29 } } { 29 } \right\rangle\]
• E)​ \(\left\langle - \frac { 50 \sqrt { 29 } } { 29 } , \frac { 20 \sqrt { 29 } } { 29 } \right\rangle\)

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Definitions:

Carbon Dioxide

This gas, which has no color and no smell, is generated when carbon and organic substances burn and through the act of respiration. It is a natural component of the air and is utilized by plants for photosynthesis.

Sugar

A sweet-flavored substance derived from various plants, primarily sugar cane and sugar beet, consisting chiefly of sucrose, and used as a sweetener in food and drink.

Starches

Complex carbohydrates composed of numerous glucose units, serving as a vital energy store in many plants.

Pigment

A substance that selectively absorbs light of specific wavelengths.