What is the dot product of <3,-7,6 ><3,−7,6> and <4,1,7 ><4,1,7>?

1 Answer
David G.
Jan 28, 2016

The dot product of two vectors, also called the 'scalar product' is a single number, in this case 4747.

Explanation:

To find the dot product (scalar product) of two vectors [a_1, a_2, a_3, ..., a_n] and [b_1, b_2, b_3, ..., b_n], we simply multiply the corresponding elements and add all the products:

a_1b_1 + a_2b_2 + a_3b_3 + .... + a_nb_n

In this case, the dot product is:

3*4+(-7)*1+6*7 = 12 - 7 + 42 = 47

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