Question

Write AB−⇀ with A(−7,5) and B(−3,−7) in component form.

Answer 1

SOLUTION

TO DETERMINE

$\vec{AB}$

with A(−7,5) and B(−3,−7) in component form.

EVALUATION

Let O be the origin

Here the given points are A(−7,5) and B(−3,−7)

So

$\vec{OA} = - 7 \hat{i} + 5 \hat{j}$

$\vec{OB} = - 3 \hat{i} - 7 \hat{j}$

Now

$\vec{AB}$

$= \vec{OB} - \vec{OA}$

$= (- 3 \hat{i} - 7 \hat{j}) - ( - 7 \hat{i} + 5 \hat{j})$

$= - 3 \hat{i} - 7 \hat{j} + 7 \hat{i} - 5 \hat{j}$

$= 4 \hat{i} - 12 \hat{j}$

So the required component form is ( 4, - 12 )

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Answer 2

Answer:

〈4,−12〉

Step-by-step explanation: