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If 'A' and 'B' are vectors, and their magnitudes are equal, and

their directions are opposite, then their vector sum is zero.

Q: Can A plus B equal zero when A and B have nonzero magnitudes?

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Their sum can be zero only if their magnitudes are equal and their directions are exactly opposite.

When they are equal in magnitude but opposite in direction.

The value of any nonzero number raised to the zero power will equal positive one (1).

It is always 1

Sure. For one example, if their magnitudes are equal and their directions are spaced 120 degrees apart, then they add to zero. There are an infinite number of other sets of magnitudes and directions that add to zero, i.e. have a zero resultant.

Related questions

Their sum can be zero only if their magnitudes are equal and their directions are exactly opposite.

A quantity which does not equal zero is said to be nonzero.

A nonzero whole number is a quantity which does not equal zero and number without fractions.

Any nonzero number raised to the power of zero is equal to one (1).By definition.

When they are equal in magnitude but opposite in direction.

Any number raised to the power of zero is always equal to 1

The value of any nonzero number raised to the zero power will equal positive one (1).

It is always 1

0=v1+v2 means the magnitudes are zero or equal and opposite.

A mathematical element that when added to another numeral makes the same numeral

Sure. For one example, if their magnitudes are equal and their directions are spaced 120 degrees apart, then they add to zero. There are an infinite number of other sets of magnitudes and directions that add to zero, i.e. have a zero resultant.

They need equal magnitudes and opposite directions.