The position vector of a point which divides the line joining the points with position vectors (a - 2b) and (2a + b) externally in the ratio 2:1, is Option 1: 3a + 4b Option 2: -3a + 4b Option 3: 3a - 4b Option 4: 5/3a

The answer is '3a + 4b'. View full solution:

Algebra > Vector Algebra

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The position vector of a point which divides the line joining the points with position vectors $(\vec{a} - 2\vec{b})$ and $(2\vec{a} + \vec{b})$ externally in the ratio 2:1, is

$3\vec{a} + 4\vec{b}$

$-3\vec{a} + 4\vec{b}$

$3\vec{a} - 4\vec{b}$

$\frac{5}{3}\vec{a}$

✅ Correct Option: 1

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