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A.) Draw the vector C⃗ =A⃗ +2B⃗ .
B.)Draw the vector C⃗ =1.5A⃗ −3B⃗ .
C.)Draw the vector C⃗ =0.5A⃗ +2B⃗ .
♦ Relevant knowledgeVector, in physics, is a term used to describe a number that is both large as well as direction. It is usually represented using an arrow that has a direction the same as the amount and whose length is proportional to its magnitude. While a vector can have both direction and magnitude but it doesn’t have the property of position.
These concepts are used to draw vectors: vector diagram and vector diagram.
To determine the relative magnitudes and order of the vectors in a combination, first use the concept vectors. Then, draw the vectors using the concept vector diagrams.
Vector is a physical quantity that has both magnitude and direction.
Vector addition is the operation of adding two or more vectors.
Vector diagrams are diagrams that show the relative magnitude and direction of a vector quantity using a vector arrow.
(A)
The vector-Draw-the-vector-C⃗-=A⃗-+2B⃗-.-B.)Draw-the-vector-C⃗-=1.5A⃗-−3B⃗-.-C.)Draw.png?x-oss-process=image/resize,w_560/format,webp)
was created by
The vector-Draw-the-vector-C⃗-=A⃗-+2B⃗-.-B.)Draw-the-vector-C⃗-=1.5A⃗-−3B⃗-.-C.)Draw.png?x-oss-process=image/resize,w_560/format,webp)
was created by
The vector combines vectors [katex]\overrightarrow{A}[/katex] with vector-Draw-the-vector-C⃗-=A⃗-+2B⃗-.-B.)Draw-the-vector-C⃗-=1.5A⃗-−3B⃗-.-C.)Draw.png?x-oss-process=image/resize,w_560/format,webp)
. It is provided by
In the above equation, substitute-Draw-the-vector-C⃗-=A⃗-+2B⃗-.-B.)Draw-the-vector-C⃗-=1.5A⃗-−3B⃗-.-C.)Draw.png?x-oss-process=image/resize,w_560/format,webp)
for [katex]\overrightarrow{A}[/katex] and [katex]\widehat{-j}[/katex] for [katex]\overrightarrow{B}[/katex] as follows:
The vector diagram for the vectors is shown in the following figure.
The vector-Draw-the-vector-C⃗-=A⃗-+2B⃗-.-B.)Draw-the-vector-C⃗-=1.5A⃗-−3B⃗-.-C.)Draw.png?x-oss-process=image/resize,w_560/format,webp)
has a magnitude of 4, and is directed along a positive _x_ axis. Vector -Draw-the-vector-C⃗-=A⃗-+2B⃗-.-B.)Draw-the-vector-C⃗-=1.5A⃗-−3B⃗-.-C.)Draw.png?x-oss-process=image/resize,w_560/format,webp)
has a magnitude of 1, and is directed along a negative _x_- axis.
(B)
The vector-Draw-the-vector-C⃗-=A⃗-+2B⃗-.-B.)Draw-the-vector-C⃗-=1.5A⃗-−3B⃗-.-C.)Draw.png?x-oss-process=image/resize,w_560/format,webp)
was created by
The vector-Draw-the-vector-C⃗-=A⃗-+2B⃗-.-B.)Draw-the-vector-C⃗-=1.5A⃗-−3B⃗-.-C.)Draw.png?x-oss-process=image/resize,w_560/format,webp)
was created by
The vector-Draw-the-vector-C⃗-=A⃗-+2B⃗-.-B.)Draw-the-vector-C⃗-=1.5A⃗-−3B⃗-.-C.)Draw.png?x-oss-process=image/resize,w_560/format,webp)
combines vectors [katex]\overrightarrow{A}[/katex] with vector -Draw-the-vector-C⃗-=A⃗-+2B⃗-.-B.)Draw-the-vector-C⃗-=1.5A⃗-−3B⃗-.-C.)Draw.png?x-oss-process=image/resize,w_560/format,webp)
. It is provided by
In the above equation, substitute-Draw-the-vector-C⃗-=A⃗-+2B⃗-.-B.)Draw-the-vector-C⃗-=1.5A⃗-−3B⃗-.-C.)Draw.png?x-oss-process=image/resize,w_560/format,webp)
for [katex]\overrightarrow{A}[/katex] and [katex]\widehat{-j}[/katex] for [katex]\overrightarrow{B}[/katex] as followed:
(C)
The vector-Draw-the-vector-C⃗-=A⃗-+2B⃗-.-B.)Draw-the-vector-C⃗-=1.5A⃗-−3B⃗-.-C.)Draw.png?x-oss-process=image/resize,w_560/format,webp)
was created by
The vector-Draw-the-vector-C⃗-=A⃗-+2B⃗-.-B.)Draw-the-vector-C⃗-=1.5A⃗-−3B⃗-.-C.)Draw.png?x-oss-process=image/resize,w_560/format,webp)
was created by
The vector-Draw-the-vector-C⃗-=A⃗-+2B⃗-.-B.)Draw-the-vector-C⃗-=1.5A⃗-−3B⃗-.-C.)Draw.png?x-oss-process=image/resize,w_560/format,webp)
combines vectors [katex]\overrightarrow{A}[/katex] with vectors -Draw-the-vector-C⃗-=A⃗-+2B⃗-.-B.)Draw-the-vector-C⃗-=1.5A⃗-−3B⃗-.-C.)Draw.png?x-oss-process=image/resize,w_560/format,webp)
. It is provided by
In the above equation, substitute-Draw-the-vector-C⃗-=A⃗-+2B⃗-.-B.)Draw-the-vector-C⃗-=1.5A⃗-−3B⃗-.-C.)Draw.png?x-oss-process=image/resize,w_560/format,webp)
-Draw-the-vector-C⃗-=A⃗-+2B⃗-.-B.)Draw-the-vector-C⃗-=1.5A⃗-−3B⃗-.-C.)Draw.png?x-oss-process=image/resize,w_560/format,webp)
or -Draw-the-vector-C⃗-=A⃗-+2B⃗-.-B.)Draw-the-vector-C⃗-=1.5A⃗-−3B⃗-.-C.)Draw.png?x-oss-process=image/resize,w_560/format,webp)
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