defence exam Coast Guard Navik GD (General Duty) 02/2025 Mock Test Series Mathematics Vector Algebra Properties of Vectors
Find the position vector of a point C which divides the line joining the points \(A\;\left( {- 2\hat i + \hat j + 3\hat k} \right)\;and\;\;B\left( {3\hat i + 5\hat j - 2\hat k} \right)\) in the ratio 2 : 1 internally ?
1
\(\frac{4}{3}\;\hat i + \frac{{11}}{3}\;\hat j - \frac{1}{3}\hat k\)
2
\(\frac{4}{3}\;\hat i + \frac{{11}}{3}\;\hat j + \frac{1}{3}\hat k\)
3
\(\frac{4}{3}\;\hat i - \frac{{11}}{3}\;\hat j - \frac{1}{3}\hat k\)
4
None of these