Find a unit vector which is perpendicular to each of the vectors a - b and a - b- where a - and b -k-

Let n̅_1=a̅+b̅= ĵ+k̂,n̅_2=a̅ b̅=2î ĵ+k̂ n̅_1 ×n̅_2=î amp; ĵ amp; k̂ 0 amp; 1 amp; 1 2 amp; 1 amp; 1 =0.î+2ĵ+2k̂ ∴ Required vector is ±n_1 ...

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Test for Coplanarity

Find a unit v...

Question

Find a unit vector which is perpendicular to each of the vectors

$\to a + \to b and \to a - \to b, w h e r e \to a =^i -^j and \to b =^k -^i$ .

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

\to b =^i +^j .

\to a + \to b

\to a - \to b

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

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

\sqrt{2}

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

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

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

-^i -^k

^j -^k

^i -^j

^i +^k

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

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

\to c

\to a

\to a

\to b,

\to a

\to c

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

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

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