If O-P- - - - 4- - 3k- and O-Q- - 2- - 2- - k- then find the modulus of P-Q-

Given: O⃗P⃗ = î + 4ĵ 3k̂ and O⃗Q⃗ = 2î 2ĵ k̂ Find the modulus of P⃗Q⃗ ∴P⃗Q⃗ = O⃗Q⃗ P⃗O⃗ = 2î 2ĵ k̂ (î + 4ĵ 3k̂) = ...

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Integration of Irrational Algebraic Fractions - 1

If O⃗P⃗ = î...

Question

If $\to O P =^i + 4^j - 3^k$ and $\to O Q = 2^i - 2^j -^k$ then find the modulus of $\to P Q$ .

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Solution

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

\to b = 2^i - 4^j - 3^k, \to c = -^i + 2^j + 2^k

\to a + \to b + \to c = 4^i - 4^j

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

\to a + 2 \to b - 3 \to c

\sqrt{78}

\to a = 2^i + 4^j + 3^k, \to b =^i + 2^j +^k,

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

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

\to C D = 2^i +^j + 3^k

\to O A =^i +^j +^k

\to O D

A, B, C

(2^i +^j -^k), (3^i - 2^j +^k)

(^i + 4^j - 3^k)

A, B, C

2^i +^j -^k,

3^i - 2^j +^k

^i + 4^j - 3^k

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