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Show that four points A,B,C and D with p...

Show that four points A,B,C and D with position vectors`4i+5j+k,-(j+k),3i+9j+4k and -4i+4j+4k` respectively coplanar.

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Show that the four points A, B, C and D with position vectors 4hat(i) + 5hat(j) + hat(k) - hat(j) - hat(k), 3hat(i) + 9hat(j) + 4hat(k) and 4(-hat(i) + hat(j) + hat(k)) respectively are coplanar.

The values of 'a' for which the points A, B, C with position vectors 2i-j+k, i-3j-5k and ai-3j+k respectively are the vertices of a right angled triangle with C = pi/2 are

Show that the points A, B and C with position vectors , vec(a)=3hat(i)-4hat(j)-4hat(k),vec(b)=2hat(i) -hat(j)+hat(k) and vec (c ) hat(i) -3hat(j)-5hat(k) respectively, from the vertices of a right angled triangle.

The three points whose position vectors are i+2j+3k, 3i+4j+7k, and -3i-2j-5k

If the position vectors of A and B are 3i-2j+k and 2i+4j+3k then |vec AB| =

If the position vectors of A and B are 3i - 2i + k and 2i + 4j - 3k then the length of AB is

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SUNSTAR PUBLICATION-P.U .BOARD LATEST MODEL QUESTION PAPER - 2 -PART-C
  1. Differentiate (x cos x)^(x)+(x sin x)^(1//x) with respect to x.

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  2. Find the absolute maximum value and the absolute minimum value of the ...

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  3. Find int(xe^(x))/((1+x)^(2))dx

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  4. Evaluate: int2/((1-x)(1+x^(2)))dx

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  5. Find the area bounded by the the curve y=cos x between x=0 and x=2pi.

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  6. Find the general solution of dy/dx+y=1(y!=1)

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  7. Find the value of p so that the lines (1-x)/3=(7y-14)/(2p)=(z-3)/2 and...

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  8. Find the area of the rectangle having vertices A,B,C and D with positi...

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  9. Show that four points A,B,C and D with position vectors4i+5j+k,-(j+k),...

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  10. In answering a question on a multiple choice test a student either kno...

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  11. If f:ArarrA defined by f(x)=(4x+3)/(6x-4) where A=R-{2/3}, show that f...

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  12. If A=((1,1,-1),(2,0,3),(3,-1,2)),B=[(1,3),(0,2),(-1,4)] and C=[(1,2,3,...

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  13. Solve by matrix method: 4x+3y+2z=60, x+2y+3z=45, 6x+2y+3z=70

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  14. If y=3 cos(log x)+4sin(logx) show that x^(2)y(2)+xy(1)+y=0

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  15. A ladder 5cm long is leaning against a wall. The bottom of the ladder ...

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  16. Find the integral of sqrt(x^(2)-a^(2) with respect to x.

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  17. Find the area of the smaller region enclosed by the circle x^(2)+y^(2)...

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  18. Solve the differential equation dy/dx+2y tan x=sin x,y=0 when x=pi/3

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  19. Derive the equation of a plane perpendicular to a given vector and pas...

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  20. In an examination 20question of true-false are asked. Suppose a studen...

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