halvan3272 halvan3272
  • 29-05-2020
  • Mathematics
contestada

Determine the projection of w onto v. U=9i-6j, v= -3i-2j, w=19i+15j

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mavila18
mavila18 mavila18
  • 29-05-2020

Answer:

w·v = -87

Step-by-step explanation:

The projection of a vector on another vector is given by the dot product between the vectors.

Thus, you calculate the dot product between w and v:

[tex]\vec{w}=(19,15)\\\\\vec{v}=(-3,-2)\\\\\vec{w}\cdot \vec{v}=(19,15)\cdot (-3,-2)\\\\\vec{w}\cdot \vec{v}=-57-30=-87[/tex]

So, the projection of w on v is -87

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