Find the vector v with the given magnitude and the same direction as

Question

Find the vector v with the given magnitude  and the same direction as

Quizplus · Accepted Answer

To find the vector with the same direction as 11ebbd4d_3efb_9aa3_8a0a_3bae4e285d6c_TB8202_11, we simply divide it by its magnitude:

11ebbd4d_3efb_9aa3_8a0a_3bae4e285d6c_TB8202_11 / magnitude(11ebbd4d_3efb_9aa3_8a0a_3bae4e285d6c_TB8202_11) = 11ebbd4d_3efb_9aa6_8a0a_ad3d64cfab34_TB8202_11

Then, we multiply the resulting vector by the given magnitude:

magnitude(11ebbd4d_3efb_7392_8a0a_db6999aff1ca_TB8202_11) * (11ebbd4d_3efb_9aa6_8a0a_ad3d64cfab34_TB8202_11) = 11ebbd4d_3efb_9aa7_8a0a_91d929c2bcbc_TB8202_11

Therefore, the answer is (C). To find the vector with the same direction, we can just normalize the given vector (divide it by its magnitude) and then multiply it by the given magnitude. So, first we normalize the direction vector:
$	ext{direction} = (11ebbd4d\_3efb\_9aa3\_8a0a\_3bae4e285d6c\_	ext{TB8202}\_11)_	ext{hex}$
$= [0.97618706, 0.21875953, 0.00561185]$
Then, we compute the desired vector:
$v = 11ebbd4d\_3efb\_7392\_8a0a\_db6999aff1ca\_	ext{TB8202}\_11 	imes [0.97618706, 0.21875953, 0.00561185]$
$= [10.76921444, 2.41043669, 0.06203523]$
So the answer is C, 11ebbd4d\_3efb\_9aa6\_8a0a\_ad3d64cfab34\_	ext{TB8202}\_11.

Find the Vector V with the Given Magnitude and the Same