Value of C may be- if A - 2 -5 - -5 - Ck-5 is a unit vector-

|A| = 1 nbsp;√( ( 25 )^2 + ( 15 )^2+ ( C5 )^2)=1 4 + C^2 + 1 =25 C = ±√(20) C = + √(20) Hence correct option is a. ...

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Unit Vectors

Value of C ma...

Question

Value of C may be, if $\to A = \frac{2^i}{5} - \frac{^j}{5} + \frac{C^k}{5}$ is a unit vector.

\sqrt{20}

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\sqrt{10}

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Solution

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Similar questions

\to A = \frac{2^i}{5} - \frac{^j}{5} + \frac{C^k}{5}

5

2^i -^j

\to r \cdot (^i -^j +^k) = 5

\to r \cdot (2^i +^j - 3^k) = 4

\to r = a^i + b^j + c^k

α

β

γ

\to r

\frac{2^i +^j}{\sqrt{5}}

\frac{- 2^i +^j}{\sqrt{5}}

^k

| α | = | β | = | γ |

| \to r | = 1,

(a, b, c)

5 \sqrt{5}

^i + 2^j

^j + 2^k

2^i +^j + 2^k

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