Q:

# If two vectors have unequal magnitudes, can their sum be zero?

A:

Two vectors with unequal magnitudes cannot have a sum of zero. Two vectors can only add up to zero if the sum of all components equal zero.

## Keep Learning

According to Buffalo State Physics, two vectors of unequal magnitudes cannot add up to zero. If two vectors A = ax + ay and B = bx + by are added together, the sum is (ax + ay) + (bx + by). To have a magnitude of zero, it requires (ax + ay) + (bx + by) = 0x + 0y. However, this only holds true if ax = -bx and ay = -by; therefore, the magnitudes of A and B must have the same positive value.

Sources:

## Related Questions

• A: "3 times the sum of a number and 5" written as an algebraic expression would be 3(x+5). The process of writing this as an algebraic equation has two parts:... Full Answer >
Filed Under:
• A: A binomial distribution is a probability distribution that has only two possible outcomes which sum up to one and have fixed probabilities. Binomial distri... Full Answer >
Filed Under:
• A: The sum of all the positive integer factors of 12 is 28. The positive integer factors of 12 are 1, 2, 3, 4, 6 and 12, and when added together, these terms ... Full Answer >
Filed Under:
• A: X3y3 + z3 can be factored by using a graphing calculator or through factoring as a sum of cubes. The final answer for factoring x3y3 + z3 is (xy + z) times... Full Answer >
Filed Under:
PEOPLE SEARCH FOR