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Dot Product in Component Form
If:
$$\vec a=a_1\hat i+a_2\hat j+a_3\hat k$$
and:
$$\vec b=b_1\hat i+b_2\hat j+b_3\hat k$$
then:
$$\vec a\cdot\vec b=a_1b_1+a_2b_2+a_3b_3$$
Usage
- Most convenient form for numerical calculations.
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Dot Product in Component Form
If:
$$\vec a=a_1\hat i+a_2\hat j+a_3\hat k$$
and:
$$\vec b=b_1\hat i+b_2\hat j+b_3\hat k$$
then:
$$\vec a\cdot\vec b=a_1b_1+a_2b_2+a_3b_3$$
Usage
- Most convenient form for numerical calculations.
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