Write the Vector V in the Form Ai + Bj $$\| \mathbf { v } \| = 15 , \alpha = 45 ^ { \circ }$$

question 140

Multiple Choice

Write the vector v in the form ai + bj, given its magnitude v and the angle  it makes with the positive x-axis.
- $$\| \mathbf { v } \| = 15 , \alpha = 45 ^ { \circ }$$

• A) \(\mathbf { v } = 15 \left( \frac { 15 \sqrt { 3 } } { 2 } \mathbf { i } + \frac { 15 } { 2 } \mathbf { j } \right)\)
• B) \(\mathbf { v } = 15 \left( \frac { 15 } { 2 } \mathrm { i } + \frac { 15 \sqrt { 3 } } { 2 } \mathrm { j } \right)\)
• C) \(v = 15 \left( - \frac { \sqrt { 2 } } { 2 } i - \frac { \sqrt { 2 } } { 2 } j \right)\)
• D) \(\mathbf { v } = 15 \left( \frac { \sqrt { 2 } } { 2 } \mathrm { i } + \frac { \sqrt { 2 } } { 2 } \mathrm { j } \right)\)

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Definitions:

Mutual Exclusivity

The assumption, often made by children learning language, that words or phrases refer to entirely separate and non-overlapping categories.

Fast Mapping

The process by which children learn new words and concepts with minimal exposure.

Logical Extension

The process of deducing or inferring additional outcomes or conclusions based on the logical progression of an established premise or understanding.

Cognitive-Developmental Theory

A theory in psychology that explains how children acquire the ability to think, reason, and use language as they grow.