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Home/ Questions/Draw the vector c⃗ =a⃗ +2b⃗ .
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lizawr
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lizawr
Asked: April 11, 20222022-04-11T18:52:18+00:00 2022-04-11T18:52:18+00:00In: Physics

Draw the vector c⃗ =a⃗ +2b⃗ .

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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 knowledge
Vector, 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.

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  1. Jacob Brown
    2022-04-12T00:14:49+00:00Added an answer on April 12, 2022 at 12:14 am
    Concepts and Reason

    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.

    Fundamentals

    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 was created by

    A-4

    represents the unit vector in the x_ direction.

    The vector В
was created by

    В- -

    The vector  combines vectors [katex]\overrightarrow{A}[/katex] with vector В
. It is provided by

    C A+2B

    In the above equation, substitute 4 i
for [katex]\overrightarrow{A}[/katex] and [katex]\widehat{-j}[/katex] for [katex]\overrightarrow{B}[/katex] as follows:

    C 4 i+2(-i
- 2i

    The vector diagram for the vectors is shown in the following figure.

    The vector has a magnitude of 4, and is directed along a positive _x_ axis. Vector has a magnitude of 1, and is directed along a negative _x_- axis.

    (B)

    The vector was created by

    A -4i+2j

    represents the unit vector in x direction, and represents the unit vector in direction y direction.

    The vector was created by

    The vector combines vectors [katex]\overrightarrow{A}[/katex] with vector . It is provided by

    С-1.54-ЗВ

    In the above equation, substitute A -4i+2j
for [katex]\overrightarrow{A}[/katex] and [katex]\widehat{-j}[/katex] for [katex]\overrightarrow{B}[/katex] as followed:

    E-15(4i+2)-3(-1i)
= 9i +3.0j

    (C)

    The vector was created by

    represents the unit vector in x direction, and represents the unit vector in direction y direction.

    The vector was created by

    Bli-1

    The vector combines vectors [katex]\overrightarrow{A}[/katex] with vectors . It is provided by

    C 0.5A+2B

    In the above equation, substitute or li-Ij
for #media_tag_45$

    C=05(41+2)+2(i-1)
- 4i -lj
Ans Part A

    Part B

    Part C

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