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तामिळनाडू बोर्ड ऑफ सेकेंडरी एज्युकेशनएचएससी विज्ञान इयत्ता १२

If aijkbijkcijka→=i^+2j^+3k^,b→=2i^-j^+k^,c→=3i^+2j^+k^ and abcambca→×(b→×c→)=la→+mb→+c→, find the values of l, m, n - Mathematics

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प्रश्न

If `vec"a" = hat"i" + 2hat"j" + 3hat"k", vec"b" = 2hat"i" - hat"j" + hat"k", vec"c" = 3hat"i" + 2hat"j" + hat"k"` and `vec"a" xx (vec"b" xx vec"c") = lvec"a" + "m"vec"b" + ""vec"c"`, find the values of l, m, n

बेरीज
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उत्तर

Given `vec"a" xx (vec"b" xx vec"c") = lvec"a" + "m"vec"b" + "n"vec"c"`

`(vec"a"*vec"c")vec"b" - (vec"a"*vec"b")vec"c" = lvec"a" + "m"vec"b" + "n"vec"c"`

Compare ```vec"a", vec"b", vec"c"` on both sides

l = 0

m = `vec"a"*vec"c"`

n = `- (vec"a"*vec"b")`

m = 3 + 4 + 3, n = – (2 – 2 + 3)

m = 10, n = – 3

l = 0, m = 10, n = – 3

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Vector Triple Product
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 6: Applications of Vector Algebra - Exercise 6.3 [पृष्ठ २४२]

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सामाचीर कलवी Mathematics - Volume 1 and 2 [English] Class 12 TN Board
पाठ 6 Applications of Vector Algebra
Exercise 6.3 | Q 7 | पृष्ठ २४२

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