Vectors 426 questions ยท Page 1 of 9
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Question 226771 question
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โˆซ((ln(x^2 +3x+2))/(x^2 +1))dx[ question
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The vectors OP, OQ and OR represented by a,b and c respectively: where a=10i+j, b=โˆ’2i+7j, c=a+3b, and O is the origin. OR and PR intersects at M where OM=kOR and PM=lPQ and k, l are constants. Find: (i) The equation of the lines of PQ and OR (ii) The coordinayes of the point M (iii)The values of the constants k and l question
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Question 224224 question
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โˆซ_0 ^( โˆž) ((tanh^2 (x))/x^2 ) dx question
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Question 221088 question
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prove ฮ _(n=2) ^โˆž e(1โˆ’(1/n^2 ))^n^2 = (ฯ€/(e(โˆše))) question
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โˆซ(dx/(1 + sin^3 x + cos^3 x)) question
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E^ lectric field strenth at any point in the space is defined as the force per unit charge at that point. It is a vector quantity whose magnitude is given by Coulomb^(s ) law and diection is in straight line loining the at that point. mathemstically question
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Question 219185 question
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((6C3ร—4C1)/(15C4)) question
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โˆซ_0 ^(ฯ€/2) (dx/((acos^2 x+bsin^2 x)^n )) question
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Question 215418 question
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Determine the unit Vector perpendicular in plane of A = 2i-6j-3k , B = 4i+3j-k question
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Question 214793 question
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Question 213817 question
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Question 212131 question
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โˆ’โˆ’โˆ’โˆ’โˆ’โˆ’โˆ’โˆ’โˆ’โˆ’โˆ’โˆ’ ๐›€= ฮฃ_(n=0) ^โˆž ((1/(3n+2)) โˆ’(1/(3n+1)) )= a๐›‘ โ‡’ a^2 = ? โˆ’โˆ’โˆ’โˆ’โˆ’โˆ’โˆ’โˆ’โˆ’โˆ’โˆ’โˆ’ question
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Question 210927 question
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{ (( If, D : x^2 +y^( 2) + z^( 2) โ‰ค1)),(( โ‡’โˆซโˆซ_D^ โˆซ(( x^2 + 2y^( 2) )/(x^2 + 4y^2 +z^2 )) dxdydz=?)) :} question
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Prove that: if (xโˆˆ]โˆ’(ฯ€/2),(ฯ€/2)[ y =โˆซ^( x) _( 0) (dt/(cos(t))) ) โ‡’ (yโˆˆIR x =โˆซ^( y) _( 0) (dt/(cosh(t))) ) question
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Question 208931 question
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Question 208395 question
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Find the value of the scalar for which the vector a = 3i + 2j is perpendicular to b = 4i - 3j question
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Question 207901 question
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Question 206779 question
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OA=(4^x ) OB=_7 ^5 and AB=5 units question
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(((โˆš3)),(1) ) and ((1),((โˆš3)) ) vector find ฮธ=? question
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a^โ†’ =i^ +3j^ +4k^ b^โ†’ =2i^ โˆ’3j^ +4k^ c^โ†’ =5i^ โˆ’2j^ +4k^ given that p^โ†’ ร—b^โ†’ =b^โ†’ ร—c^โ†’ and p^โ†’ .b^โ†’ =0 then the value of p^โ†’ (i^ โˆ’j^ +k^ )is question
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Find the determinant: determinant (((1โˆ’x),2,3,โ€ฆ,n),(1,(2โˆ’x),3,โ€ฆ,n),(1,2,(3โˆ’x),โ€ฆ,n),(โ‹ฎ,โ‹ฎ,โ‹ฎ,โ‹ฑ,โ‹ฎ),(1,2,3,โ€ฆ,(nโˆ’x))) question
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Find the determinant: determinant ((5,3,0,0,โ€ฆ,0,0),(2,5,3,0,โ€ฆ,0,0),(0,2,5,3,โ€ฆ,0,0),(โ‹ฎ,โ‹ฎ,โ‹ฎ,โ‹ฎ,โ‹ฑ,โ‹ฎ,โ‹ฎ),(0,0,0,0,โ€ฆ,5,3),(0,0,0,0,โ€ฆ,2,5)) question
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Question 204509 question
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Question 203419 question
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Question 202035 question
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Question 201526 question
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Question 201135 question
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two weels, those have the same materials, with radii:r_1 =4 and r_2 =14 are starting to move on a surface,with the same velocity,from:x=0 to x=20. the surface has no friction. wich one arrives faster? any informations needed? question
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Question 200787 question
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Question 200786 question
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in a triangle nmmm5gfkl question
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Calcul I=โˆซ^( (ฯ€/2)) _( 0) ((ln(cost))/(1+sin^2 t))dt question
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Calculer โˆซ^( +โˆž) _( (1/ฮฑ)) e^(โˆ’ฮฑt^2 +2t) dt question
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Question 195722 question
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If r_1 ^(โ†’) =(sinฮธ,cosฮธ,ฮธ), r_2 ^(โ†’) =(cosฮธ,โˆ’sinฮธ,โˆ’3) and r_3 ^(โ†’) =(2,3,โˆ’1), find (d/dฮธ){r_1 ^(โ†’) ร—(r_2 ^(โ†’) ร—r_3 ^(โ†’) )} at ฮธ=0 question
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A ball is thrown vertically upwards with a velocity of 10m/s from a point 75 m above the ground. Calculate the velocity with which it hits the ground. question
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An object is pulled up a smooth plane inclined at angle 45ยฐ to the horizontal. If the plane is 25 m long and the object comes to rest at the top, correct to two decimal places the: (i) initial speed of the object (ii) time taken to reach the top. question
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A(-1, 2), B(3, 5) and C(4, 8) are the vertices of triangle ABC. Forces whose magnitudes are 5N and 3โˆš10N act along (AB) โƒ— and (CB) โƒ— respectively. Find the direction of the resultant of the forces. question
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Calcule: I=โˆซ_o ^(๐›‘/3) x^2 (sinx)^2 dx question
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calculate laplace transform L { (( e^( โˆ’(1/x)) )/( (โˆšx) )) } = ? question
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determinant ((( If , ฮฉ= โˆซ_0 ^( (ฯ€/2)) (( 4cos^( 2) (4x))/(3(1+sin^( 2) (2x ))))dx= a(โˆš2) + b ))) โ‡’ Find the value of , aโˆ’ b=? question