2.5 Applications of Products
Chapter
Chapter 2
Section
2.5
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Solutions 18 Videos

Find the projection of \vec{u} = (2, 3, -4) onto each of the coordinate axes.

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Q3

Find the work done by a force \vec{F} that causes a displacement \vec{d}.

\vec{F} = 2\vec{i}, \vec{d} = 5\vec{i} +6\vec{j}

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Q15a

Find the work done by a force \vec{F} that causes a displacement \vec{d}.

\vec{F} = 4\vec{i}+\vec{j}, \vec{d} = 3\vec{i} + 10\vec{j}

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Q15b

Find the work done by a force \vec{F} that causes a displacement \vec{d}.

\vec{F} =(800, 600), \vec{d} = (20, 50)

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Q15c

Find the work done by a force \vec{F} that causes a displacement \vec{d}.

\vec{F} =12\vec{i}-5\vec{j}+ 5\vec{k}, \vec{d} =-2\vec{i} + 8\vec{j}- 4\vec{k}

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Q15d
Lectures 5 Videos

Torque Application of Cross Product

\vec{T} = \vec{F} \times \vec{r}

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Torque Application of Cross Product

Volume of Parallelpied

V = |(\vec{a} \times \vec{b})\cdot \vec{c} |

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Volume of Parallelpied

Projecting \vec{u} onto another \vec{v}.

Proj( \vec{u} on \vec{v}) = \displaystyle \frac{|\vec{u} \cdot \vec{v}|}{|\vec{v}|^2} \vec{v}

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Projection Vectors

Work = |\vec{F}||\vec{d}|\cos\theta

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Work Example