If the position vectors of points A and B are 3i + j and i + 5j respectively, find the unit vector in the direction of AB.

Question

Accepted Answer

$\frac{1}{\sqrt{5}}(-i + 2j)$. AB = B - A = (1-3)i + (5-1)j = -2i + 4j. |AB| = √(4 + 16) = √20 = 2√5. Unit vector = (-2i + 4j)/(2√5) = (-i + 2j)/√5.

Answer

A) $\frac{1}{\sqrt{5}}(-i + 2j)$

Answer

B) $\frac{1}{\sqrt{5}}(i - 2j)$

Answer

C) $\frac{1}{2\sqrt{5}}(-i + 2j)$

Answer

D) $\frac{1}{\sqrt{20}}(2i + 4j)$

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