1.

Given A=0.3i+0.4j+Ck, calculate the value of C if A is a unit vector.

Answer»

For a UNIT VECTOR, MAGNITUDE is 1
\sqrt{ {0.3}^{2} +  {0.4}^{2}  +  {c}^{2}  }  = 1 \\ 0.25 +  {c}^{2}  = 1 \\  {c}^{2}  = 0.75 \\ c =  \sqrt{0.75} =  0.87



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