If a- - 2- - 4- - 5k- then find the value of - so that -a- may be a unit vector-

Solution | λa⃗ | = 1 | a⃗ | = 1x λ #160; = 1 | a⃗ | λ #160; = 1√(2^2+( 4)^2+5^2) λ #160; = 1√(45) = 13√(5) ...

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Unit Vectors

If a⃗ = 2î ...

Question

If $\to a = (2^i - 4^j + 5^k)$ then find the value of $λ$ so that $λ \to a$ may be a unit vector.

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\to a = 2^i + 4^j - 5^k, \to b =^i +^j +^k, \to c =^j + 2^k

\to a + \to b + \to c

\to a =^i +^j +^k

\to b = 2^i + 4^j - 5^k

\to c = λ^i + 2^j + 3^k

λ

\to b + \to c .

\to r = 3^i + 2^j - 5^k, \to a = 2^i -^j +^k

\to b =^i + 3^j - 2^k, \to c = - 2^i +^j - 3^k

\to r = λ \to a + μ \to b + v \to c

μ, \frac{λ}{2}

v

λ

2^i - 4^j + 5^k

^i - λ^j +^k

3^i + 2^j - 5^k

\to a

^{'} a^{'}

λ

λ \to a

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