Vector Algebra

Fill in all the gaps, then press "Check" to check your answers. Use the "Hint" button to get a free letter if an answer is giving you trouble. You can also click on the "[?]" button to get a clue. Note that you will lose points if you ask for hints or clues!

1. A is a quantity that is determined by its magnitude.
2. A is a quantity that is determined by both its magnitude and its direction.
3. If we have a liberty to choose the origins of the vector at any point then it is said to be a vector.
4. If we choose the vector which is restricted to a certain point then the vector is said to be a vector.
5. Two or more vectors are said to be if they lie on the same plane or parallel to the same plane.
6. Two vectors are said to be if they have equal length and the same direction.
7. A vector of magnitude 0 is called the vector.
8. A vector of magnitude 1 is called a vector.
9. The product of the vectors

\vec{a}

and

\vec{b}

\vec{a} . \vec{b} = |\vec{a}| |\vec{b}| \cos θ

.
10. product of any two non-zero vectors

a

and

\vec{b}

is written as

\vec{a} \times \vec{b}

Vector Algebra - I

Gap-fill exercise