Let A- - 2- B- - 3-k- and C- - 6- - 2k- Find the value of A-2B- - 3C-

A⃗ =2î +ĵ B⃗ =3ĵ k̂ C⃗ =6î 2k̂ Value of #160; A⃗ 2B⃗ +3C⃗ is 2î +ĵ 2( 3ĵ k̂ #160; ) +3( 6î 2k̂ #160; ) =2î +ĵ 6ĵ +2k̂ ...

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Vector Addition

Let A⃗ = 2î...

Question

Let $\to A = 2^i +^j$ , $\to B = 3^j -^k$ and $\to C = 6^i - 2^k$ . Find the value of $\to A - 2 \to B + 3 \to C$ .

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Solution

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$\to A = 2^i +^j, 3^j -^k$ and $\to C = 6^i - 2^k$ . Value of $\to A - 2 \to B + 3 \to C$ would be

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

\to C = 6^i - 2^k

\to A - 2 \to B + 3 \to C

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

\to c = 6^i - 3^j +^k

\to d

\to a

\to b

\to c . \to d = 2

(\to a + 2 \to b)

\to c

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

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

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