Decompose V into Two Vectors V1 and V2, Where V1 $$\mathbf { v } = - 2 \mathbf { i } + 3 \mathbf { j } , \mathbf { w } = 3 \mathbf { i } + \mathbf { j }$$

question 214

Multiple Choice

Decompose v into two vectors v1 and v2, where v1 is parallel to w and v2 is orthogonal to w.
- $$\mathbf { v } = - 2 \mathbf { i } + 3 \mathbf { j } , \mathbf { w } = 3 \mathbf { i } + \mathbf { j }$$

• A) \(\mathbf { v } _ { 1 } = - \frac { 3 } { 10 } ( 3 \mathbf { i } + \mathbf { j } ) , \mathbf { v } _ { 2 } = - \frac { 11 } { 10 } \mathbf { i } + \frac { 33 } { 10 } \mathbf { j }\)
• B) \(\mathbf { v } _ { 1 } = - \frac { 3 } { 10 } ( 3 i + \mathbf { j } ) , \mathbf { v } _ { 2 } = - \frac { 17 } { 10 } \mathbf { i } + \frac { 12 } { 5 } \mathbf { j }\)
• C) \(\mathbf { v } _ { 1 } = - \frac { 1 } { 3 } ( 3 i + j ) , v _ { 2 } = - 1 i + \frac { 10 } { 3 } j\)
• D) \(\mathbf { v } _ { 1 } = - \frac { 3 } { 10 } ( 3 i + j ) , v _ { 2 } = \frac { 7 } { 10 } \mathbf { i } + \frac { 39 } { 10 } \mathbf { j }\)

Recognize the significance of algorithms, heuristics, and set theories in solving problems and making decisions.

Understand the different theories of intelligence and their proponents.

Explain the aspects and types of problem-solving techniques.

Recognize the concepts of mental images and how they relate to cognitive processes.

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Linear Programming

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