If a unit vector is represented by 0.5hat{i} + 0.8hat{j} + chat{k} , then value of ‘ c ’

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3-1.Vectors

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If a unit vector is represented by $0.5\hat i + 0.8\hat j + c\hat k$, then the value of ‘$c$’ is

A

$1$

B

$\sqrt {0.11} $

C

$\sqrt {0.01} $

D

$\sqrt {0.39} $

(AIPMT-1999)

Solution

(b) Magnitude of unit vector $= 1$

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

By solving we get $c = \sqrt {0.11} $

Standard 11

Physics

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