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A mosquito net over a 7ftxx4ft bed is 3 ...

A mosquito net over a `7ftxx4ft` bed is 3 ft high. The net hs a hole at one corner of the bed through which diagonally opposite upper corner of the net. A. Find the magnitude of the displaceentof the mosquito. B. Taking the hole as the origin, the length of the bed as the X-axis, its width as teh Y-axis, and verticallup as the Z-axis, write the components of the displacement vector.

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The correct Answer is:
(a) `sqrt(74)` ft (b) component of the displacement vector are 7ft and 3ft

Displacement vector, ` vecr=7hati+4hati+3hatk,`

(a) Magnitude of displancement `sqrt(7^2+4^2+3^2), sqrt(74) ft`, (b)Component of the displacement vector are 7 ft, and 3 ft,.
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HC VERMA-PHYSICS AND MATHEMATICS-Exercises
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  2. A carrom board 4ftxx4ft square) has the queen at the centre. The queen...

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  3. A mosquito net over a 7ftxx4ft bed is 3 ft high. The net hs a hole at ...

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  4. Suppose veca is a vector of magnitude 4.5 unit due north. What is the ...

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  5. Two vectors have magnitudes 2 m and 3m. The angle between them is 60^0...

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  6. Let A1 A2 A3 A4 A5 A6 A1 be a regular hexagon. Write the x-components ...

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  7. Let veca=2veci+3vecj+4veck and vecb=3veci+4vecj+5veck. Find the angle ...

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  8. Prove that vecA.(vecAxxvecB)=0

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  9. If vecA=2veci+3vecj+4veck and vecB=4veci+3vecj+2veck, find vecAxxvecB.

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  10. If vecA,vecB,vecC are mutually perpendicular show that vecCxx(vecAxxve...

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  11. A particle moves on a given straight line with a constant speed v. At ...

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  12. The force on as charged particle due to electric and magnetic fields i...

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  13. Give an example for which vecA.vecB=vecC.vecB but vecA!=vecC.

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  14. A curve is represented by y=sinx. If x is changed from pi/3 to pi/3+pi...

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  15. The electric curren in a charging R-C circuit is given by i=i0e^(-t/RC...

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  16. The electric current in a discharging R-C circuit is given by i=i0e^(-...

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  17. Find the area bounded under the curve y=3x^2+6x+7 X-axis with the orid...

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  18. Find the area enclosed the curve y=sin x and the X-axis between x=0 an...

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  19. Find the area bounded by the curve y=e^(-x) the X-axis and the Y-axis.

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  20. A rod of length L is placed along the X-axis between x=0 and x=L. The ...

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