1. What is a non-zero vector space?
2. What is a non-zero scalar?
3. What happens when you add a non-zero vector?
4. When 2 non-zero vectors A and B are perpendicular to each other?
5. When two non-zero vectors A and B are perpendicular to each other their magnitude of resultant is R when they are opposite?
6. What is the angle between two equal vectors?

What is a non-zero vector space?

Any non-zero element of F serves as a basis so F is a 1-dimensional vector space over itself. The field is a rather special vector space, in fact it is the simplest example of a commutative algebra over F. Also, F has just two subspaces: {0} and F itself.

What is a non-zero scalar?

A quantity only having magnitude but not direction is known as a scalar quantity. Non-zero vectors are the vectors whose value is not zero. When a non-zero scalar is multiplied by a zero vector the result is zero.

What happens when you add a non-zero vector?

It behaves essentially like the number 0. If we add 0 to any vector a, we get the vector a back again unchanged. For a given number of dimensions, there is only one vector of zero length (which justifies referring to this vector as the zero vector).

When 2 non-zero vectors A and B are perpendicular to each other?

When to non-zero vectors a and b are perpendicular to each other their magnitude of resultant is R. When they are opposte to each other their resultant is of magnitude R/√2.

When two non-zero vectors A and B are perpendicular to each other their magnitude of resultant is R when they are opposite?

When two non-zero vectors a → a n d b → are perpendicular to each other, their magnitude of resultant is R. When they are opposite to each other, their resultant is of magnitude R 2 .

What is the angle between two equal vectors?

0°Vector means a quantity having both direction and magnitude. Equal vector means the quantity and direction both are the same. If the direction is the same the angle between them is 0°.