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Brilliant_brown [7]
3 years ago
5

Can the sum of the magnitudes of two vectors ever be equal to the magnitude of the sum of the same two vectors? If no, why not?

If yes, when?
a-No, because of the angle between the two vectors.
b-No, it is impossible for the magnitude of the sum to be equal to the sum of the magnitudes.
c-Yes, if the two vectors are in the same direction.
d-Yes, if the two vectors are perpendicular.
e. Yes, if one of the vectors is zero.
Physics
1 answer:
Vikki [24]3 years ago
4 0

Answer:

c-Yes, if the two vectors are in the same direction.

e. Yes, if one of the vectors is zero.

Explanation:

Lets take

The magnitude of the two vectors are A and B and they are at angle θ

Then the Sum of these two vectors

\bar{R}=\bar{A}+\bar{B}

Resultant R

R=\sqrt{A^2+B^2+2ABcos\theta}

if the angle between these vectors is zero.It means that they are in the same direction.

θ = 0

R=\sqrt{A^2+B^2+2ABcos0}

R=\sqrt{A^2+B^2+2AB}

R=\sqrt{(A+B)^2}

R=A+B

If the one vector is zero vector.

Therefore the answer will be C and e.

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