if vector A=coswt i^ + sinwt j^ and vector B= Cos(wt/2) i^ + sin(wt/2)j^ are functions of time,then the value of t at which they are orthogonal to each other is?
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Answered by
46
If A vector and B vector are orthogonal then the angle between them will be 90.
Thus the resultant time =>
T = √( A^2 + B^2 + 2AB×cos¢)
= √{ (cos^2wt + sin^2wt) + (cos^2(wt/2) + sin^2(wt/2)) + 0 }
= √(1 + 1)
= √2
T = √2...●
●●●●●●●●●●●●●●●●●
Hope it was helpful.
Thus the resultant time =>
T = √( A^2 + B^2 + 2AB×cos¢)
= √{ (cos^2wt + sin^2wt) + (cos^2(wt/2) + sin^2(wt/2)) + 0 }
= √(1 + 1)
= √2
T = √2...●
●●●●●●●●●●●●●●●●●
Hope it was helpful.
SidVK:
Main vector ke multply ki baat nhi krra addition ki baat kar raha hun..addition me resulting vector hota hai...jise R se denote krte hain..shaq hai to open the book..
Answered by
258
Answer: Option-4(^\w)
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