Question

If the vector A^=0.4Ci^+0.6j^ represent a unit vector then the value of C is

Answer 1

Answer: C=±2

Given vector A is a unit vector, so it's magnitude should be equal to 1.

|A|=√(0.4C)² + (0.6)²  =1

⇒0.16C²+0.36=1

⇒0.16C²=1-0.36=0.64

⇒C²=0.64÷0.16=4

⇒C=±2

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