Question

13) Can two nonzero perpendicular vectors be added together so their sum is zero? Explain.

Answer 1

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 2

sum of two perpendicular nonzero vectors can not be ZERO

Step-by-step explanation:

As we know by the sum or addition of two vectors is given by

`R = √(a^2 + b^2 + 2abcos\theta)`

here we know that

a and b are the magnitude of two vectors

`\theta` = angle between two vectors

so as we know that here two vectors are perpendicular to each other

so we will have

`R = √(a^2 + b^2)`

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