Write a unit vector in the direction of the sum of the vector a- - 2- - 2- - 5k- and b- - 2- - - - 7k-

Here, a⃗=2i⃗+2j⃗ 5k⃗ and b⃗=2i⃗+j⃗ 7k⃗ a⃗+b⃗=(2i⃗+2j⃗ 5k⃗)+(2i⃗+j⃗ 7k⃗)=4i⃗+3j⃗ 12k⃗ |a⃗+b⃗|=√(4^2+3^2+( 12)^2)=√(16+9+144)=√(169)=13 There ...

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Unit Vectors

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Question

Write a unit vector in the direction of the sum of the vector $\to a = 2^i + 2^j - 5^k$ and $\to b = 2^i +^j - 7^k$

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

\to b = 2^i +^j + 3^k

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

\to c =^i - 6^j - 7^k

\to a = 2^i -^j + 2^k

\to b = -^i +^j -^k

\to a + \to b

\to A = 3^i - 2^j +^k, \to B =^i - 3^j + 5^k

\to C = 2^i -^j + 4^k

If $\to a = 4^i -^j +^k$ and $\to b = 2^i - 2^j +^k,$ then find a unit vector parallel to the vector $\to a + \to b$ .

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