Question

If AB = 2î - 4j+7k and initial point A=(1,5,0). Find the terminal point B​

Answer 1

It has given that AB = 2i - 4j + 7k and initial point A = (1, 5, 0).

we have to find the terminal point B.

solution : using vector concept,

$\quad \vec{AB}=\vec{B}-\vec{A}$

here $\vec{AB}=2\hat{i}-4\hat{j}+7\hat{k}$

$\vec{A}=\hat{i}+5\hat{j}+0\hat{k}$

so $2\hat{i}-4\hat{j}+7\hat{k}=\vec{B}-(\hat{i}+5\hat{j}+0\hat{k})$

⇒$(2\hat{i}-4\hat{j}+7\hat{k}+(\hat{i}+5\hat{j}+0\hat{k}=\vec{B}$

⇒$3\hat{i}+\hat{j}+7\hat{k}=\vec{B}$

⇒$\vec{B}=3\hat{i}+\hat{j}+7\hat{k}$

Therefore the terminal point B = (3, 1 , 7)

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