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If a⃗ = 4î – ĵ + k̂ and b⃗ = 2î – 2ĵ + k̂, then find a unit vector parallel to the vector a⃗ +b⃗

For any vectors a and b, prove that: (a*b)² = a2b² –(a.b)2 remember, a and b have small arrow symbol above them to represent vector symbol.

Prove by the vector method that in any triangle:

Prove by the vector method that in any triangle:a/sinA=b/sinB=c/SinC

Prove by the vector methodsinA/a=sinB/b=sinC/c

Prove by the vector methodsinA/a=sinB/b=sinC/c

Prove by vector method:sin(A-B)=sinAcosB-cosAsinBsin(A+B)=sinAcosB+cosAsinBcos(A-B)=cosAcosB+sinAsinBcos(A+B)=cosAcosB-sinAsinB