(b) if a=2i- j +3k and b = 5i +4-2k...
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(b) if a=2i- j +3k and b = 5i +4-2k then find lax b|

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( mathcal{L} ) criven that [ a=2 i-j+3 k ] ( 8 b=5 i+4 j-2 k ) [ begin{array}{l} text { Find }|a times b| (a times b)=left|begin{array}{ccc} i & j & k 2 & 1 & 3 5 & 4-2 end{array}right| = & i(-2-12)-j(-4-15)+k(8-5) & =-14 i+19 j+3 k end{array} ] Now [ begin{aligned} |(9 x b)| &=sqrt{(-14)^{2}+(9)^{2}+6 x^{2}} &=sqrt{196+361+9} &=sqrt{566} end{aligned} ]
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