Find the Projection of a Vector onto Another Vector
- $$\mathbf { v } = 2 \mathbf { i } + 3 \mathbf { j } ; \quad \mathbf { w } = 8 \mathbf { i } - 6 \mathbf { j }$$

question 124

Multiple Choice

Find the Projection of a Vector onto Another Vector
- $$\mathbf { v } = 2 \mathbf { i } + 3 \mathbf { j } ; \quad \mathbf { w } = 8 \mathbf { i } - 6 \mathbf { j }$$

• A)\( - \frac { 1 } { 25 } ( 4 i - 3 j )\)
• B) \(- \frac { 8 } { 5 } ( i - 6 j )\)
• C)\( - \frac { 4 } { 13 } ( i - 3 j )\)
• D) \(- \frac { 4 } { 325 } ( i - 6 j )\)

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Definitions:

Cerebrospinal Fluid

A clear, colorless body fluid found in the brain and spinal cord, serving as a cushion and participating in nutrient delivery and waste removal.

Cushion

A soft, padded object typically used for sitting, kneeling, or lying on for comfort or support, often found as part of furniture or decorative items.

Coordination of Movement

The harmonious functioning of muscles and nerves to produce smooth, controlled movements.

Gray Matter

Brain tissue comprising neuron cell bodies, dendrites, and unmyelinated axons, associated with processing and cognition.