Find the magnitude of a-b- if a- - 2- - - - 3k- and b- - 3- - 5- - 2k-

a⃗=2î+ĵ+3k̂, b⃗=3î+5ĵ 2k̂ a⃗×b⃗=î #160; amp; ĵ #160; amp; k̂ #160; 2 amp; 1 amp; 3 3 amp; 5 amp; 2 =î( 17 ) ĵ ...

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Determinant

Find the magn...

Question

Find the magnitude of $\to a \times \to b$ ,
if $\to a = 2^i +^j + 3^k$ and $\to b = 3^i + 5^j - 2^k$ .

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Solution

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$I f \to a = 2^i +^j + 3^k a n d \to b = 3^i + 5^j - 2^k, t h e n f i n d ∣ ∣ ∣ \to a \times \to b ∣ ∣ ∣ .$

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

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

\to a \cdot (\to b \times \to c)

\to a \cdot (\to b \times \to c)

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

\to c = 3^i +^j + 2^k .

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

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

(\to A + \to B)

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