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…”

Answer

(A)

The vector

was created by

represents the unit vector in the x_ direction.

The vector

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.

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

represents the unit vector in x direction, and #media_tag_20$ represents the unit vector in direction y direction.

The vector

was created by

The vector

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)

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

The vector

combines vectors HTMLmedia_tag_39$ with vector

. It is provided by

In the above equation, substitute

or

for #media_tag_45$

Part A – Ans

Part B

Part C

Conclusion

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