If $\mathbf { u } = - 3 \mathbf { i } + 6 \mathbf { j }$

question 160

Multiple Choice

If $\mathbf { u } = - 3 \mathbf { i } + 6 \mathbf { j }$ and $\mathbf { v } = - 6 \mathbf { i } + 5 \mathbf { j }$ , find $\mathbf { w } = 3 \mathbf { u } + 5 \mathbf { v }$ .

• A) \(\mathbf { w } = - 39 \mathbf { i } + 43 \mathbf { j }\)
• B) \(\mathbf { w } = - 33 \mathbf { i } + 43 \mathbf { j }\)
• C) \(\mathbf { w } = - 27 \mathbf { i } + 55 \mathbf { j }\)
• D) \(\mathbf { w } = - 39 \mathbf { i } + 45 \mathbf { j }\)
• E) \(\mathbf { w } = 16 \mathbf { i } - 12 \mathbf { j }\)

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Definitions:

Propene

A colorless gas with a faint petroleum-like odor, used as a fuel and in organic synthesis, a precursor for many chemical products.

Structure

The arrangement or organization of parts to form an object, system, or concept.

2-Hexane

A six-carbon aliphatic hydrocarbon with a structural formula of C6H14, where two carbon atoms are connected, forming part of the hexane isomers.

Condensed Structural Formula

A method of representing the molecular structure of a compound where each atom is shown and bonds are implied rather than explicitly drawn, with minimal branching.