Question

answer question no 5
need help

Answer 1

unit vector means magnitude is 1.
√0.5²+0.8²+C²=1
0.25+0.64+C²=1
0.89+C²=1
C²=1-0.89
c=√0.11
c=0.332(+ or -)

Answer 2

hello friend...!!!

according to the question , the given vector is a new vector ,

therefore,

⇒ the magnitude of the vector is equal to 1 

⇒ 0.5 i + 0.8 j + c k 

⇒$\sqrt{ (0.5)^{2} + (0.8)^{2} + c^{2} }$  = 1

⇒ $(0.5)^{2}$  + $(0.8)^{2}$ + $c^{2}$  = 1 

⇒ 0.25 + 0.64 + $c^{2}$  = 1 

⇒ $c^{2}$  = 1 -  0.89

⇒ $c^{2}$ = 0.11

⇒ c = √ (0.11)

⇒ c = 0.3

therefore the value of ' C ' is 0.3

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hope it helps...!!