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Find out the angle made by vecA= hati+ha...

Find out the angle made by `vecA= hati+hatj+hatk` vector from X, Y and Z axes respectively.

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`cos alpha=(A_(x))/(A), " " cos beta=(A_(y))/(A), " " cos gamma= (A_(z))/(A)`
here `A_(x)=A_(y)=A_(z)=1`
and `A=sqrt(A_(x)^(2)+A_(y)^(2)+A_(z)^(2))=sqrt(1+1+1)=sqrt(3)`
`therefore cos alpha=(1)/(sqrt(3)) or alpha = cos^(-1) ((1)/(sqrt(3)))`
`cos beta=(1)/(sqrt(3)) or beta =cos^(-1) ((1)/(sqrt(3)))`
`cos gamma = (1)/(sqrt(3)) or gamma = cos^(-1) ((1)/(sqrt(3)))`
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MOTION-VECTOR -Exercise - 3
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  2. If a vector (2hati+3hatj+8hatk) is perpendicular to the vector (4hatj-...

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  3. If the angle between the vectors vecA and vecB is theta, the value of ...

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  4. If |vec(A)xxvec(B)|=sqrt(3)vec(A).vec(B), then the value of |vec(A)+ve...

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  5. Square of the resultant of two forces of equal magnitude is equal to t...

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  6. A particle moves with a velocity v=(5hati-3hatj + 6hatk) ms^(-1) under...

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  7. A river is flowing from west to east with a speed of 5 m//min. A man c...

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  8. The vectors for origin to the points A and B are A=3hati-6hatj+2hatk a...

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  9. Minimum number of vectors of unequal magnitudes which can give zero re...

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  10. A police jeep is chasing with, velocity of 45 km//h a thief in another...

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  11. The vector vecA and vecB are such that |vecA+vecB|=|vecA-vecB|. The an...

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  12. vecA and vecB are two vectors and theta is the angle between them, i...

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  13. A car travles 6km towards north at an angle of 45^(@) to the east and ...

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  14. Two forces of 12N and 8N act upon a body. The resultant force on the b...

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  15. A proton in a cyclotron changes its velocity from 30 kmh^(–1) the nor...

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  16. Rain is falling vertically downwards with a speed of 4 km h^-1. A girl...

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  17. A train of 150 m length is going toward north direction at a speed of ...

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  18. Three are N coplancar vectors each of magnitude V Each vector is incl...

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  19. A particle is moving such that its position coordinates (x, y) are (2m...

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