Basics of Vectors

The magnitudes of vectors  $\overrightarrow{A},\overrightarrow{B}\mathrm{and}\overrightarrow{C}$  are $3,$ $4$ and $5$ units respectively. If  $\overrightarrow{A}+\overrightarrow{B}=\overrightarrow{C}$ , then the angle between  $\overrightarrow{A}\mathrm{and}\overrightarrow{B}$  is :

Vectors $\overrightarrow{a}$ and $\overrightarrow{b}$ are non-collinear. For what value of $\alpha$ are the vectors $\overrightarrow{u}=\left(\alpha -2\right)\overrightarrow{a}+\overrightarrow{b}$ and $\overrightarrow{v}=\left(2+3\alpha \right)\overrightarrow{a}-3\overrightarrow{b}$ collinear?

How do you find a negative vector?

The negative vector of $\left(-6,11\right)$ is $\left(-6,-11\right)$.

If $\overrightarrow{M}=\left(-4,-5\right)$, then the negative vector of $\overrightarrow{M}$ is 

Write down the negative vector of $\left(-7,9\right)$.

If $\overrightarrow{B}=\left(1,3\right)$, then find the negative vector of $\overrightarrow{B}$. 

Define the negative of a vector.

If $\left|\overrightarrow{a}\right|=8$, then the reciprocal vector of $\overrightarrow{a}$ is 

If $\left|\overrightarrow{a}\right|=6$, find $\hat{a}$ and the reciprocal vector of $\overrightarrow{a}$.

If $\left|\overrightarrow{a}\right|=20$, then the reciprocal vector of $\overrightarrow{a}$ is $\frac{\overrightarrow{a}}{400}$.

If $\left|\overrightarrow{a}\right|=15$, find $\hat{a}$ and the reciprocal vector of $\overrightarrow{a}$.

If $\left|\overrightarrow{a}\right|=5$, find the reciprocal vector of $\overrightarrow{a}$.

Vectors are called as Co-initial vectors if they have same

Any kind of vector that is other than _____ vector is called as a proper vector.

Proper vector has magnitude other than zero.

Any kind of vector that is other than zero vector is called as a

For a proper vector initial and terminal points coincide.

What is meant by proper vector?

If the vectors have the same terminal point then they are called as Co-terminus vectors.