If A-2 -3 -5 k- B-3 -5 k- and C-3 -2 - then A-2 B-3 C- isA- -9 -5 k-B- -9 -5 k-C- -9 -5 k-D- -9 -5 k-

The correct option is A î 9ĵ 5k̂Given, nbsp;A=2î 3ĵ+5k̂, nbsp;B= 3î+5k̂ and C= 3î 2ĵ So, A 2B+3C=(2î 3ĵ+5k̂) 2( 3î+5k̂)+3( 3î 2ĵ) ⇒ ( î 9ĵ 5k̂) ...

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Vector Addition

If A⃗=2 î-3 ĵ...

Question

If $\to A = 2^i - 3^j + 5^k$ , $\to B = - 3^i + 5^k$ and $\to C = - 3^i - 2^j$ , then $\to A - 2 \to B + 3 \to C$ is

-^i - 9^j - 5^k

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^i - 9^j - 5^k

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-^i + 9^j - 5^k

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-^i - 9^j + 5^k

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

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

\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 = l \to a + m \to b + n \to c

\to a = 2^i - 5^j + 8^k, \to b =^i - 3^j -^k, \to c = - 3^i - 2^j -^k

| \to a + \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

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