What is the dot product of $< 1, 5, - 3 >$ $<1,5,-3 >$ and $< - 1, 4, 2 >$ $<-1,4,2 >$ ?

Question

What is the dot product of $< 1, 5, - 3 >$ $<1,5,-3 >$ and $< - 1, 4, 2 >$ $<-1,4,2 >$ ?

1 Answer

Impact of this question

1539 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-11-21T07:25:54

The dot product is $- 13$ $-13$ .

Explanation:

Let us consider $[1, 5, - 3]$ $[1,5,-3]$ as $\to A = ˆ i + 5 ˆ j - 3 ˆ k$ $vecA=hati+5hatj-3hatk$ and $[- 1, 4, 2]$ $[-1,4,2]$ as $\to B = - ˆ i + 4 ˆ j + 2 ˆ k$ $vecB=-hati+4hatj+2hatk$ .
The dot product of $[1, 5, - 3]$ $[1,5,-3]$ and $[- 1, 4, 2]$ $[-1,4,2]$ is $\to A . \to B$ $vecA.vecB$ .
$\to A . \to B = a_{1} b_{1} + a_{2} b_{2} + a_{3} b_{3}$ $vecA.vecB=a_1b_1+a_2b_2+a_3b_3$ .
Substitute the given values we get,
$\Rightarrow \to A . \to B = (1) (- 1) + (5) (4) + (- 3) (2) = - 13$ $=>vecA.vecB=(1)(-1)+(5)(4)+(-3)(2)=-13$ .

Science

Math

Humanities

... and beyond

What is the dot product of $< 1, 5, - 3 >$ $<1,5,-3 >$ and $< - 1, 4, 2 >$ $<-1,4,2 >$ ?

1 Answer

Explanation:

Related questions

Impact of this question

Science

Math

Humanities

... and beyond

What is the dot product of <1,5,−3><1,5,-3 > and <−1,4,2><-1,4,2 >?

1 Answer

Explanation:

Related questions

Impact of this question

What is the dot product of $< 1, 5, - 3 >$ $<1,5,-3 >$ and $< - 1, 4, 2 >$ $<-1,4,2 >$ ?