Let vecb = hati +hatj + lamda hatk , lam...

Let `vecb = hati +hatj + lamda hatk , lamda in RR` . If `veca` is a vector such that `veca xx vecb = 13 hati - hatj - 4hatk ` and `veca.vecb + 21 =0` then `(vecb-veca).(hatk-hatj)+(vecb+veca).(hati-hatk)` is equal to

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JEE MAINS PREVIOUS YEAR-JEE MAINS 2022-Mathematics-Section B

If the sum of the co-efficients of all the positive even powers of x i...
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If mean deviation about mean is (5(n+1))/n of data 1,2,3,4....n wher...
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Let vecb = hati +hatj + lamda hatk , lamda in RR . If veca is a vecto...
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The total number of three-digit numbers, with one digit repeated exact...
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Let f(x) = |(x - 1)(x^2 – 2x – 3)|+x-3,x in R. Ifm and M are respectiv...
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Hyperbola x^2/a^2-y^2/b^2=2 has eccentricity 5/4. If normal to the hyp...
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Let l1 be the line in xy-plane with x and y intercepts 1/8 and 1/(4s...
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If relation defined on set A= {1,2,3, . . .,50} , and relation R1 {(p,...
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The number of real solutions of the equation e^(4x)+4e^(3x)-58e^(2x)+4...
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The mean and standard deviation of 15 - observations are found to be 8...
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veca=2hati+hatj+3hatk , vecb=3hati+3hatj+hatk & vecc=c1hati+c2hatk+c3h...
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A ray of light passing tb.rough the point P (2, 3) reflects on the x-a...
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Let l be a line which is normal to the curve y = 2x^2 + x + 2 at a poi...
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Let A ={1, a1, a2 .. .... A(18).77} be a set of intgers with 1lta1lta2...
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The number of positive integers k such that the constant term in the b...
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The number of elements in the set {z=a+ibinCC:a,binZ and 1lt|z-3+2i|lt...
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Let the lines y+2x=sqrt(11)+7sqrt7 and 2y+x=2sqrt(11)+6sqrt7 be norma...
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Let S = {z in C: |z – 2| le 1, z(1 + i) + barz(1 - i) le2} . Let |z – ...
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Let y = y(x) be the solution of the differential equation (dy)/(dx)+(s...
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Let d be the distance between the foot of perpendiculars of the points...
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