Obtain the lengh of the distance vector from point P(2,π/2,3π/4) to Q(10,π/4,π/2)?
a) Compute the distance vector from P(0,-2,1) to Q(-2,0,3)
b) Obtain the lengh of the distance vector from point P(2,π/2,3π/4) to Q(10,π/4,π/2)
Thanks for your help
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Verified answer
Use the distance form to work out the length of the vector... Therefore, you should get...
d_PQ = √((10 - 2)² + (π/4 - π/2)² + (π/2 - 3π/4)²)
= √(8² + (-π/2)² + (-π/4)²)
= √(64 + π²/4 + π²/16)
= √((64 * 16 + 4π² + π²)/16)
= √(64 * 16 + 5π²)/4
Good luck!