Find a • b. a = 4i + 8j, b = -2i + 3j

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Find a • b. a = 4i + 8j, b = -2i + 3j

Mathematics
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this is the 'dot' product of 2 vectors a . b = 4i*-2i + 8j*3j
its also called the Scalar product
can you simplify this further?

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Other answers:

the square of the unit vectors i and j both = 1
Okay. hmm
-8,24
@xamr Almost, but the dot product gives you a single value not a pair of values. So you need to ad those two numbers together. One application of the dot product is to calculate length which is the square root of the dot product, $$\text{length of vector a} = \sqrt{\vec a \cdot \vec a }$$
So 16
Yep
yes
By thinking of i,j,k as components x,y,z we can rewrite vectors a and b. \[\vec a = \langle 4~,~8\rangle ~,~ \vec b = \langle -2~,~ 3\rangle\]
Thank you all.
yw
when you dot a vector with another vector, you get the amount of projection of one vector onto another. So if two vectors are at right angles to each other, then there's no projection at all, and the dot product is zero $$\vec a \cdot \vec b = 0 $$ means they're perpendicular to each other

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