What is the dot product of $<1,4,-7 >$ and $<-1,6,2 >$ ?

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Answer 1 · 2016-09-09T20:40:48

$<1,4,-7> * <-1,6,2> = 9$

The dot product of two vectors is very easy!

Given,
$< x_1, y_1,z_1>$ and $< x_2, y_2, z_2>$ ,
$< x_1, y_1,z_1> * < x_2, y_2, z_2>$
$= x_1 * x_2 + y_1 * y_2 + z_1 * z_2$

So, for our question,
$<1,4,-7> * <-1,6,2>$
$= -1 + 24 - 14 = 9 square$

What is the dot product of <1,4,-7 ><1,4,-7 > and <-1,6,2 ><-1,6,2 >?