the vectors A=3i-2j+k,B=i-3j+5k and c=2i+j-4k form a
a) right angled triangle
b) equilateral triangle
c) isosceles triangle
d) obtuse angled triangle
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Answer:
here a^2 +c^2 = b^2i.e.
(3i-2i+k)^2 +(2i+j-4k)^2=(i-3j+5k)^2
9+4+1+2(0+0+0) + 4+1+16+2(0+0+0)=
1+9+25
35=35 Therefore a,b,c are sides od right angled triangle.
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