Question

Someone solve this for me please: Find a vector v such that || v || = 10 and v is in same direction as 2i + 3j

Answer 1

Explanation:

`\overrightarrow{a}=2*\overrightarrow{i}+3*\overrightarrow{j}\\\\||\overrightarrow{a}||=√(2^2+3^2) =√(13) \\\\\boxed{\overrightarrow{v}=(20)/(√(13))*\overrightarrow{i}+(30)/(√(13))*\overrightarrow{j}} \\\\\\||\overrightarrow{a}||=\sqrt{((20)/(√(13)))^2+((30)/(√(13)))^2} =\sqrt{(400+900)/(13) }==\sqrt{(1300)/(13) }=√(100)=10 \\`