Question

If the angle between two vectors are 90 then those vectors are called...
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Answer 1

If the angle between two vectors is $\mathsf{90^{\circ}}$, then those vectors are called orthogonal.

Step-by-step explanation:

Mathematically, the orthogonality is found by solving for their dot product or scalar product if that is 0.

If we take two vectors $\mathsf{\overrightarrow{r_{1}}=a_{1}\hat{i}+b_{1}\hat{j}+c_{1}\hat{k}}$ and $\mathsf{\overrightarrow{r_{2}}=a_{2}\hat{i}+b_{2}\hat{j}+c_{2}\hat{k}}$. Then they are orthogonal, when

$\quad \mathsf{\overrightarrow{r_{1}}.\overrightarrow{r_{2}}=0}$

$\Rightarrow \mathsf{(a_{1}\hat{i}+b_{1}\hat{j}+c_{1}\hat{k}).(a_{2}\hat{i}+b_{2}\hat{j}+c_{2}\hat{k})=0}$

$\Rightarrow \mathsf{a_{1}a_{2}+b_{1}b_{2}+c_{1}c_{2}=0}$

So, we have two conditions to check orthogonality of two vectors:

1. $\mathsf{\overrightarrow{r_{1}}.\overrightarrow{r_{2}}=0}$
2. $\mathsf{a_{1}a_{2}+b_{1}b_{2}+c_{1}c_{2}=0}$

Answer 2

If the angle between  vectors is 90 degrees, then those vectors are known as perpendicular.

Explanation:

• Angle between  vectors is the shortest angles at which any of the 2 vectors is rotated about the other vector such that each of the vectors have the identical direction.
• Furthermore, this focuses on finding the angle between vectors, this means that their origin is at (0, 0) in x-y plane.
• Vectors are orientated in different directions while forming different angles. This perspective exists between  vectors and is responsible for specifying the  of vectors.