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Given unit vectors hatm hatn and hatp su...

Given unit vectors `hatm hatn and hatp` such that angle between `hatm and hatn is alpha` and angle between `hatp` and

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`[hatn hatp hatm] = [hatp hatm hatn] `
` = hatp . (hatm xxhatn)`
`= |hatp|.|hatm xx hatn|cos alpha`
`= |hatm xx hatn| cos alpha`
`= sin alpha cos alpha = 1//4`
`Rightarrow sin 2 alpha = 1//2`
` or 2 alpha = 30^(@)`
`or alpha = 15 ^(@)`
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CENGAGE-DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS -Exercise
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  2. Let veca, vecb , vecc be non -coplanar vectors and let equations veca'...

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  3. Given unit vectors hatm hatn and hatp such that angle between hatm and...

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  4. Let vec a , vec b ,a n d vec c be non-coplanar unit vectors, equal...

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  5. Let veca=a(1)hati+a(2)hatj+a(3)hatk,vecb=b(1)hati + b(2)hatj + b(3)hat...

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  6. If |(a-x)^2(a-y)^2(a-z)^2(b-x)^2(b-y)^2(b-z)^2(c-x)^2(c-y)^2(c-a)^2|=0...

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  7. OABC is a tetrahedron where O is the origin and A,B,C have position ve...

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  8. Prove that the smaller angle between any two diagonals of a cube is co...

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  9. In A B C , a point P is taken on A B such that A P//B P=1//3 and poin...

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  10. Let O be an interior point of DeltaABC such that bar(OA)+2bar(OB) + ...

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  11. The lengths of two opposite edges of a tetrahedron of aa n db ; the...

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  12. Find the volume of a parallelopiped having three coterminus vectors of...

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  13. Find the derivative of y = 4 tan^-1 3x^4.

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  14. Given that vecA,vecB,vecC form triangle such that vecA=vecB+vecC. Find...

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  15. A line l is passing through the point vecb and is parallel to vector v...

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  16. If vec e1, vec e2, vec e3a n d vec E1, vec E2, vec E3 are two sets of...

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  17. In a quadrilateral ABCD, it is given that AB |\|CD and the diagonals A...

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  18. O A B C is regular tetrahedron in which D is the circumcentre of O...

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  19. If A(veca).B(vecb) and C(vecc) are three non-collinear point and origi...

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  20. If veca, vecb, vecc are three given non-coplanar vectors and any arbit...

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