A.) Draw the vector C⃗ =A⃗ +2B⃗ . B.)Draw the vector C⃗ =1.5A⃗ −3B⃗ . C.)Draw…
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Question “A.) Draw the vector C⃗ =A⃗ +2B⃗ . B.)Draw the vector C⃗ =1.5A⃗ −3B⃗ . C.)Draw…”
A.) Draw the vector C⃗ =A⃗ +2B⃗ .
B.)Draw the vector C⃗ =1.5A⃗ −3B⃗
.
C.)Draw the vector C⃗ =0.5A⃗ +2B⃗
.
Answer
These concepts are used to draw vectors: vectors and the 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)
was created by
represents the unit vector in the x_ direction.
was created by
The vector HTMLmedia_tag_5$ combines vectors HTMLmedia_tag_0$ with vector
. It is provided by
In the above equation, substitute
in place of and HTMLmedia_tag_11$ in order to make the
as follows:
The vector diagram for the vectors is shown in the following figure.
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)
was created by
represents the unit vector in x direction, and #media_tag_20$ represents the unit vector in direction y direction.
was created by
combines vectors HTMLmedia_tag_24$ with vector
. It is provided by
In the above equation, substitute
and HTMLmedia_tag_29$ to get #media_tag_30$
(C)
was created by
represents the unit vector in x direction, and
represents the unit vector in direction y direction.
was created by
combines vectors HTMLmedia_tag_39$ with vector
. It is provided by
In the above equation, substitute
for #media_tag_45$
Part A – Ans
Part B
Part C
Conclusion
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