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If the points having position vectors ha...

If the points having position vectors `hati + b hat j + c hat k`, `7 hati + 2 hat j + 6 hat k`and `5 hati + 2 hat j + 5 hat k` are collinear, find the values of b and c.

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If the points having position vectors hat(i)+bhat(j)+chat(k), 7hat(i)+2hat(j)+6hat(k) " and " 5hat(i)+2hat(j)+5hat(k) are collinear, find the values of b and c.

If the vectors x hat (i) - 4 hat (j) + 5 hat (k) , hat (i) + 2 hat (j) + hat (k) and2 hat (i) - hat (j) + hat (k) are coplanar , find the value x

If points hat i+ hat j , hat i- hat j and p hat i+q hat j+r hat k are collinear, then

If vectors vec a= hat i+2 hat j- hat k , vec b=2 hat i- hat j+ hat k and vec c=lambda hat i+ hat j+2 hat k are coplanar, then find the value of (lambda-4) .

Prove that point hat i +2 hat j - 3 hat k ,2 hat i - hat j + hat k and 2 hat i + 5 hat j - hat k from a triangle in space.

If the vectors ahat (i) + a hat (j) + c hat (k) , hat (i) + hat (k) and c hat (i) + c hat (j) + b hat (k) be coplanar, show that c^(2) = ab

If the vectors vec (a) = 2 hat (i) - hat (j) + hat (k) , vec ( b) = hat (i) + 2 hat (j) - 3 hat (k) and vec(c ) = 3 hat (i) + lambda hat (j) + 5 hat (k) are coplanar , find the value of lambda

if vec a= 5 hat i -hat j -3 hat k and vec b=hat i+3 hat j - 5 hat k , Find vec a . vec b =?

Find the area of triangle whose vertices have position vectors hat (i) + hat (j) + 2 hat (k) , 2 hat (i) + 2 hat (j) + 3 hat (k) and 3 hat (i) - hat (j) - hat (k)

Find the projection of vector hat i+3 hat j+7 hat k on the vector 7 hat i- hat j+8 hat kdot

UNITED BOOK HOUSE-SET (11)-EXERCISE
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  5. Provet that the producet of the matrics [[cos^2 alpha cos alpha sin al...

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  6. Solve :|(x + a, b, c),(a, x+b, c),(a, b, x + c)|=0

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  7. If f(x)= ((a+x)/(b+x))^(a+b+2x) then prove that f'(0)= [2log(a/b)+(b...

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  8. If y = e^u and u = f(x), show that,(d^2y)/(dx^2)= e^u [(d^2u)/(dx^2) +...

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  9. int dx/(x^n(1+x^n)^(1/n)) is

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  10. Solve: (x^2 + y^2).dx-2xydy = 0, given y = 0 when x = 1

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  11. SolveL (1+y)^2dx=(tan^(-1)y-x)dy, given that y= 0 when x= -1.

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  12. If the points having position vectors hati + b hat j + c hat k, 7 hati...

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  13. Let veca = 2 hati + 2 hat j + 3 hat k, vecb = -hati + 2 hat j + hat k,...

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  14. Evaluate: underset (0)overset(pi/4)int (sqrt tanx + sqrt cotx)dx

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  15. A bag contains 5 white, 7 red and 3 black balls. If three balls are dr...

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  16. A bag contains 5 white and 7 black balls. Find the expectation of a ma...

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  17. Using calculus find the length of perpendicular from the point (2,-1) ...

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  18. Shade the area bounded by y^2 = 8x and y = x above positive direction ...

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  19. Find the equation of the line which passes through the point with posi...

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  20. Find the equation of the plane passing through line of intersection of...

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