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5) a: Letd=2i−4j+k. Write⃗a=3i+2j−6kasthesumoftwovectors⃗v,w⃗,where⃗visperpendicular ⃗⃗ to d and w⃗ is parallel to d. b: Find the...

5)

a: Letd=2i−4j+k. Write⃗a=3i+2j−6kasthesumoftwovectors⃗v,w⃗,where⃗visperpendicular

⃗⃗ to d and w⃗ is parallel to d.

b: Find the equation of the plane through the origin and perpendicular to x+y+z = 5 and 2x+y−2z = 7

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