Respuesta :
In order for two vectors to add to zero, they must have the same magnitude and point in opposite directions.
Two perpendicular vectors, by definition, make a right angle with each other whereas two vectors pointing in opposite directions form a straight line.
Because of this, two perpendicular vectors with nonzero magnitudes will never add to zero.
Answer:
sum of two perpendicular nonzero vectors can not be ZERO
Explanation:
As we know by the sum or addition of two vectors is given by
[tex]R = \sqrt{a^2 + b^2 + 2abcos\theta}[/tex]
here we know that
a and b are the magnitude of two vectors
[tex]\theta[/tex] = angle between two vectors
so as we know that here two vectors are perpendicular to each other
so we will have
[tex]R = \sqrt{a^2 + b^2}[/tex]
now since the is sum of two positive non zero numbers so it can not be zero
so sum of two perpendicular nonzero vectors can not be ZERO