What is: ( -2, 0, 2)T · ( (1, -1, 1)T + ( 3, 1, 4)T )

A good answer might be:

Here it is probably easiest to do the dot product first:

( -2, 0, 2)T · ( (1, -1, 1)T + ( 3, 1, 4)T )    =    ( -2, 0, 2)T · (1, -1, 1)T   +  ( -2, 0, 2)T · ( 3, 1, 4)T    =    0 + 2  =  2

End of the Chapter

You may find it useful to distribute your study time over the following topics:

  • variousNames Various names by which the dot product is known.
  • twoDdot Definition of the dot product for 2D vectors.
  • commutativeProp Commutative property of the dot product.
  • mixedDanger Easily made incorrect expression involving dot products.
  • higherDdot Definition of the dot product for higher dimensions.
  • dotZero Dot product with the zero vector.
  • selfDot Dot product of a vector with itself.
  • distributiveProp Distributive property.
Click on a term to see where it was discussed in this chapter. Remember to click on the "Back" arrow of your browser to get back to this page. The next chapter will discuss how the dot product relates to the length of a vector.
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