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Show that the points A, B, C with positi...

Show that the points A, B, C with position vectors `2hati – hatj + hatk, hati – 3 hatj – 5 hatk and 3 hat i – 4 hat j – 4 hatk` respectively, are the vertices of a right-angled triangle. Hence find the area of the triangle.

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    XII BOARDS PREVIOUS YEAR|Exercise Section D 35 B|1 Videos

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Show that the points A, B and C with position vectors veca=3hati -4hatj-4hatk , vecb= 2hati-hatj+hatk and vecc=hati-3hatj-5hatk respectively form the vertices of a right angled triangle.

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XII BOARDS PREVIOUS YEAR-XII Boards-All Questions
  1. Evaluate : int0^pi(xtanx)/(secx+tanx)dx

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  2. Solve the differential equation: (1+x^2) dy/dx + y = tan^-1 x

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  3. Show that the points A, B, C with position vectors 2hati – hatj + hat...

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  4. Evaluate int0^(2pi) sin^2x cos^4x dx=

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  5. Write the distance of a point P(a ,b ,c) from x-axis.

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  6. Find the value of lambda , if four points with position vectors 3 hati...

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  7. If A and B are square matrices of order 3 such that |A| = – 1, |B| = 3...

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  8. There are 4 cards numbered 1,3,5 and 7, one number on one card. Two ca...

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  9. Of the students in a school, it is known that 30% have 100% attendance...

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  10. Show that the minimum of Z occurs at more than two points : Minimi...

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  11. Find (dy)/(dx) at t=(2pi)/3 when x = 10 (t – sin t) and y = 12 (1 –...

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  12. If P(A)=0. 4 ,P(B)=p ,P(AuuB)=0. 6 and A and B are given to be indepen...

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  13. A company produces two types of goods A and B, that require gold and s...

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  14. Find int (dx)/sqrt(3-2x-x^2)

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  15. Determine the product [[-4, 4, 4], [-7, 1, 3],[5, -3, -1]][[1, -1, 1]...

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  16. |(1+x,1,1),(1,1+y,1),(1,1,1+z)|=xy+yz+zx+xyz

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  17. Consider f : R->{-4/3}->R-{4/3} given by f(x) = (4x+3)/(3x+4). Show t...

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  18. The number of irrational roots of the equation (4x)/(x^2+x+3)+(5x)/(...

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  19. Show that the total surface area of a closed cuboid with square bas...

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  20. Using integration, find the area of the triangle ABC, coordinates o...

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