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2 years ago

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

Physics

2 answers:

statuscvo [17]2 years ago

4 0

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

$R = \sqrt{a^2 + b^2 + 2abcos\theta}$

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

$R = \sqrt{a^2 + b^2}$

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

Neporo4naja [7]2 years ago

3 0

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.

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