Question

What is the angle between a vector and its negative vector ?

What is the angle between two equal vectors ?

What is the result of combining a vector with its negative vector ?​

Answer 1

Answer:

✤ The angle would be 180° as both the vectors will form a straight line and would not overlap each other.

✤The angle between two equal vectors is 90.

✤ Let x = (x1, x2, …, xN) be a vector in R^n. Then the negative vector (-x) = (-x1, -x2, …, -xN). Addition of vectors is component wise.

So x + (-x) = (x1, x2, …, xN) + (-x1, -x2, …, -xN) = (x1 - x1, x2 - x2, …, xN - xN) = (0, 0, …, 0) = Zero Vector.

Answer 2

Answer:

The angle would be 180° as both the vectors will form a straight line and would not overlap each othe

The angle between two equal vectors is 90.