anonymous
  • anonymous
Find a • b. a = 4i + 8j, b = -2i + 3j
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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welshfella
  • welshfella
this is the 'dot' product of 2 vectors a . b = 4i*-2i + 8j*3j
welshfella
  • welshfella
its also called the Scalar product
welshfella
  • welshfella
can you simplify this further?

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welshfella
  • welshfella
the square of the unit vectors i and j both = 1
anonymous
  • anonymous
Okay. hmm
anonymous
  • anonymous
-8,24
anonymous
  • anonymous
@welshfella
Empty
  • Empty
@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, $$\text{length of vector a} = \sqrt{\vec a \cdot \vec a }$$
anonymous
  • anonymous
So 16
Empty
  • Empty
Yep
welshfella
  • welshfella
yes
Jhannybean
  • Jhannybean
By thinking of i,j,k as components x,y,z we can rewrite vectors a and b. \[\vec a = \langle 4~,~8\rangle ~,~ \vec b = \langle -2~,~ 3\rangle\]
anonymous
  • anonymous
Thank you all.
welshfella
  • welshfella
yw
Empty
  • Empty
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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