Topics discussed in this video:
Magnitude of Vectors, Formula to find vector using coordinates of initial and terminal points, Direction ratios, unit vectors, multiplication of vectors by scalar using Geogebra
1. Compute the magnitude of the following vectors:
\vec{a}=\hat{i}+\hat{j}+\hat{k}
\vec{b}=2\hat{i}-7\hat{j}-3\hat{k}
\vec{c}=\frac{1}{\sqrt{3}}\hat{i}+\frac{1}{\sqrt{3}}\hat{j}-\frac{1}{\sqrt{3}}\hat{k}
10. Find a vector in the direction of vector 5\hat{i}-\hat{j}+2\hat{k} which has magnitude 8 units.