Obtain the magnitude of 2A-3B- if A- -2k- and B- 2-k-

The correct option is C √(90) 2A⃗ 3B⃗= 2 ( î+ĵ 2k̂ ) 3 ( 2î ĵ+k̂ ) #160; #160; #160; #160; #160; #160; #160; #160; #160; ...

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Obtain the ma...

Question

Obtain the magnitude of $2 \to A - 3 \to B$ if $\to A =^i +^j - 2^k$ and $\to B = 2^i -^j +^k .$

90

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45

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\sqrt{90}

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\sqrt{45}

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

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

(\to a + 3 \to b) . (2 \to a - \to b)

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

| \to a | = 2

| \to b | = 3

\to a \cdot \to b = 6

\to c

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

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

\to r =^i +^j + 2^k

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

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

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

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

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

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

\to a \times (\to b \times \to c) = (1 + α)^i + β (1 + α)^j + r (1 + α) (1 + β)^k

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