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What are the different types of vectors?

asked Jun 9, 2022 by ♦MathsGee Diamond (89,175 points) | 155 views

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Are the following statements True or False?

asked Feb 5, 2022 by ♦GaussTheBot Diamond (45,615 points) | 209 views

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When dealing with vectors, what does scalar multiplication mean?

asked Jan 26, 2022 by ♦MathsGee Diamond (89,175 points) | 196 views

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What are parallel and collinear vectors?

asked Jan 26, 2022 by ♦MathsGee Diamond (89,175 points) | 186 views

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What are collinear vectors?

asked Jan 26, 2022 by ♦MathsGee Diamond (89,175 points) | 194 views

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Prove that if $\mathbf{u}, \mathbf{v}$, and $\mathbf{w}$ are vectors in $R^{n}$, and if $k$ and $m$ are scalars, then:

asked Jan 26, 2022 by ♦MathsGee Diamond (89,175 points) | 413 views

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Prove that If $\mathbf{v}$ is a vector in $R^{n}$ and $k$ is a scalar, then:

asked Jan 26, 2022 by ♦MathsGee Diamond (89,175 points) | 408 views

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Let $\mathbf{u}=(1,-1,3,5)$ and $\mathbf{v}=(2,1,0,-3)$. Find scalars $a$ and $b$ so that $a \mathbf{u}+b \mathbf{v}=(1,-4,9,18)$.

asked Jan 26, 2022 by ♦MathsGee Diamond (89,175 points) | 281 views

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Let $\mathbf{u}=(2,1,0,1,-1)$ and $\mathbf{v}=(-2,3,1,0,2)$. Find scalars $a$ and $b$ so that $a \mathbf{u}+b \mathbf{v}=(-8,8,3,-1,7)$

asked Jan 26, 2022 by ♦MathsGee Diamond (89,175 points) | 247 views

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Show that there do not exist scalars $c_{1}, c_{2}$, and $c_{3}$ such that $c_{1}(1,0,1,0)+c_{2}(1,0,-2,1)+c_{3}(2,0,1,2)=(1,-2,2,3)$

asked Jan 26, 2022 by ♦MathsGee Diamond (89,175 points) | 165 views

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True/False: If $k$ is a scalar and $\mathbf{v}$ is a vector, then $\mathbf{v}$ and $k \mathbf{v}$ are parallel if and only if $k \geq 0$.

asked Jan 26, 2022 by ♦MathsGee Diamond (89,175 points) | 347 views

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True/False: The vectors $\mathbf{v}+(\mathbf{u}+\mathbf{w})$ and $(\mathbf{w}+\mathbf{v})+\mathbf{u}$ are the same.

asked Jan 26, 2022 by ♦MathsGee Diamond (89,175 points) | 390 views

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True/False: If $\mathbf{u}+\mathbf{v}=\mathbf{u}+\mathbf{w}$, then $\mathbf{v}=\mathbf{w}$

asked Jan 26, 2022 by ♦MathsGee Diamond (89,175 points) | 353 views

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True/False: If $a$ and $b$ are scalars such that $a \mathbf{u}+b \mathbf{v}=\mathbf{0}$, then $\mathbf{u}$ and $\mathbf{v}$ are parallel vectors.

asked Jan 26, 2022 by ♦MathsGee Diamond (89,175 points) | 434 views

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True/False: If $(a, b, c)+(x, y, z)=(x, y, z)$, then $(a, b, c)$ must be the zero vector.

asked Jan 26, 2022 by ♦MathsGee Diamond (89,175 points) | 370 views

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True/False: If $k$ and $m$ are scalars and $\mathbf{u}$ and $\mathbf{v}$ are vectors, then $$ (k+m)(\mathbf{u}+\mathbf{v})=k \mathbf{u}+m \mathbf{v} $$

asked Jan 26, 2022 by ♦MathsGee Diamond (89,175 points) | 433 views

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True/False: If the vectors $\mathbf{v}$ and $\mathbf{w}$ are given, then the vector equation

asked Jan 26, 2022 by ♦MathsGee Diamond (89,175 points) | 342 views

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True/False: The linear combinations $a_{1} \mathbf{v}_{1}+a_{2} \mathbf{v}_{2}$ and $b_{1} \mathbf{v}_{1}+b_{2} \mathbf{v}_{2}$ can only be equal if $a_{1}=b_{1}$ and $a_{2}=b_{2}$.

asked Jan 26, 2022 by ♦MathsGee Diamond (89,175 points) | 341 views

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If $ \mathbf{u}=(1,3,-2,7) \text { and } \mathbf{v}=(0,7,2,2) $ then the distance between $\mathbf{u}$ and $\mathbf{v}$ is

asked Jan 26, 2022 by ♦MathsGee Diamond (89,175 points) | 266 views

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Prove that if $\mathbf{u}, \mathbf{v}$, and $\mathbf{w}$ are vectors in $R^{n}$, and if $k$ is a scalar, then $(\mathbf{u}+\mathbf{v}) \cdot \mathbf{w}=\mathbf{u} \cdot \mathbf{w}+\mathbf{v} \cdot \mathbf{w}$

asked Jan 26, 2022 by ♦MathsGee Diamond (89,175 points) | 390 views

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Prove that if $\mathbf{u}, \mathbf{v}$, and $\mathbf{w}$ are vectors in $R^{n}$, then:

asked Jan 26, 2022 by ♦MathsGee Diamond (89,175 points) | 431 views

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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

asked Jan 13, 2022 by ♦MathsGee Diamond (89,175 points) | 185 views

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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.

asked Jan 13, 2022 by ♦MathsGee Diamond (89,175 points) | 170 views

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Are these statements True or False?

asked Jan 13, 2022 by ♦MathsGee Diamond (89,175 points) | 220 views

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When are two nonzero vectors orthogonal to each other?

asked Jan 13, 2022 by ♦MathsGee Diamond (89,175 points) | 191 views

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What are Orthogonal Projections?

asked Jan 13, 2022 by ♦MathsGee Diamond (89,175 points) | 166 views

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Determine whether the statements are true or false, and justify your answer

asked Jan 13, 2022 by ♦MathsGee Diamond (89,175 points) | 267 views

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What is the difference between vectors and scalars?

asked Jan 13, 2022 by ♦MathsGee Diamond (89,175 points) | 175 views

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What are the basic principle of vectors and scalars?

asked Mar 29, 2021 by Eddie Wooden Status (1,010 points) | 276 views

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The number of vectors of unit length perpendicular to any two vectors is_?

asked Sep 15, 2020 by ♦MathsGee Diamond (89,175 points) | 301 views

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Vectors can be added together but scalars cannot.

asked Aug 21, 2020 by ♦CT Silver Status (24,686 points) | 403 views

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What is the difference between vectors and scalars?

asked Apr 28, 2020 by ♦MathsGee Diamond (89,175 points) | 239 views

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Which ONE of the following pairs of physical quantities is vector quantities?

asked Apr 26, 2020 by Joshua Mwanza Gold Status (26,655 points) | 1,726 views

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Recent questions tagged scalars