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Ques 1 : A vector “A” makes an angle of 20° and vector B makes an angle of 110°  with the x-axis. The magnitudes of these two vectors are 3m and 4m respectively. Find the resultant.  Ans : The angle between two vectors,  A vector and  B vector is 90°. Magnitude of | A| and | A |, |A|= 3 and |B|=4 The resultant vector, say R= √(A² + B² + 2𝐴𝐵𝐶𝑜𝑠𝜃) = 5 m  Let angle β be the angle between A and B then,  β= tan^ -1(4 sin 90° /3+4 cos 90°)= tan^-1(4/3) =53° The angle between resultant vector and x axis = 53°+ 20° = 73°. Ques 2 : Add vectors A, B and C each having magnitude of 100 unit and inclined to the x-axis at angles 45°, 135° and 315° respectively.  Ans: Let A , B and C are three vectors of magnitude 100 unit each.  |A|=|B|=|C|= 100 unit  x-components of vector A = 100 cos 45° = 100/ √2 unit.  x-components of vector B = 100 cos 135° = -100/ √2 unit x-components of vector C = 100 cos 315°= 100/ √2 unit.  So, resultant x-compo...
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2.0 gram of a metal burst in oxygen give 3.2 gram of its oxide. 1.42 gram of the same metal heat in steam give 2.27 gram of its oxide which toys shown by this data?

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