Recent questions tagged scalars

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Show that two nonzero vectors $\mathbf{v}_{1}$ and $\mathbf{v}_{2}$ in $R^{3}$ are orthogonal if and only if their direction cosines satisfy
Show that two nonzero vectors $\mathbf{v}_{1}$ and $\mathbf{v}_{2}$ in $R^{3}$ are orthogonal if and only if their direction cosines satisfyShow that two nonzero vectors $\mathbf{v}_{1}$ and $\mathbf{v}_{2}$ in $R^{3}$ are orthogonal if and only if their direction cosines satisfy  \cos \ ...
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If $\|\mathbf{v}\|=2$ and $\|\mathbf{w}\|=3$, what are the largest and smallest values possible for $\|\mathbf{v}-\mathbf{w}\|$ ? Give a geometric explanation of your results.
If $\|\mathbf{v}\|=2$ and $\|\mathbf{w}\|=3$, what are the largest and smallest values possible for $\|\mathbf{v}-\mathbf{w}\|$ ? Give a geometric explanation of your results.If $\|\mathbf{v}\|=2$ and $\|\mathbf{w}\|=3$, what are the largest and smallest values possible for $\|\mathbf{v}-\mathbf{w}\|$ ? Give a geometric exp ...
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Are these statements True or False?
Are these statements True or False?(a) If each component of a vector in $R^{3}$ is doubled, the norm of that vector is doubled. &nbsp; (b) In $R^{2}$, the vectors of norm 5 whose init ...
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When are two nonzero vectors orthogonal to each other?
When are two nonzero vectors orthogonal to each other?When are two nonzero vectors orthogonal to each other? ...
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What are Orthogonal Projections?
What are Orthogonal Projections?What are Orthogonal Projections? ...
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Determine whether the statements are true or false, and justify your answer
Determine whether the statements are true or false, and justify your answerDetermine whether the statements are true or false, and justify your answer ...
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What is the difference between vectors and scalars?
What is the difference between vectors and scalars?What is the difference between vectors and scalars? ...
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What are the basic principle of vectors and scalars?
What are the basic principle of vectors and scalars?What are the basic principle of vectors and scalars? ...
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The number of vectors of unit length perpendicular to any two vectors is_?
The number of vectors of unit length perpendicular to any two vectors is_?The number of vectors of unit length perpendicular to any two vectors is_? ...
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Vectors can be added together but scalars cannot.
Vectors can be added together but scalars cannot.(i) &nbsp;Vectors can be added together but scalars cannot. (ii) &nbsp;A scalar quantity can be associated with direction. (iii) &nbsp;A vector quanti ...
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What is the difference between vectors and scalars?