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.

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

Resultant R

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

θ = 0

R=A+B

If the one vector is zero vector.

Therefore the answer will be C and e.

answer: the correct answer id option(d).

explanation:

snell's law refraction:

the angle of refraction =

the angle of incidence =

refractive index of air = = 1

refractive index of glycerol = 1.47

from the given options, the most closest answer to 63.72° is 65° of option (d).

the answer is b ) square root of 5