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If vec b is a vector whose initial poin...

If ` vec b` is a vector whose initial point divides thejoin of `5 hat ia n d5 hat j` in the ratio `k :1` and whose terminal point is the origin and `| vec b|lt=sqrt(37),t h e nk` lies in the interval a. `[-6,-1//6]` b. `(-oo,-6]uu[-1//6,oo)` c. `[0,6]` d. none of these

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If vec b is a vector whose initial point divides thejoin of 5hat i and 5hat j in the ratio k:1 and whose terminal point is the origin and |vec b|<=sqrt(37), then k lies in the interval a.[-6,-1/6] b.(-oo,-6]uu[-1/6,oo) c.[0,6] d.none of these

Find a vector whose length is 3 and which is perpendicular to the vector vec a=3hat i+hat j-4hat k and vec b=6hat i+5hat j-2hat k

If vec a=4hat i+6hat j and vec b=3hat j+4hat k, then find the component of vec a and vec b .

If vec a=4hat i+6hat j and vec b=3hat j+hat k, then the component of vec a along vec b is

Write the position vector of a point dividing the line segment joining points A and B with position vectors vec a and vec b externally in the ration 1:4 where vec a=2hat i+3hat j+4hat k and vec b=-hat i+hat j+hat k

If unit vectors vec a and vec b are inclined at angle 2 theta such that |vec a-vec b|<1and0<=theta<=pi, then theta lies in interval a.[0,pi/6] b.[5 pi/6,pi] c.[pi/6,pi/2] d.[pi/2,5 pi/6]

vec a=hat i+hat j+hat k,vec b=hat i-hat j+hat k and vec c=hat i-hat j-hat k be threevectors.A vector in the plane of vec a and vec b whose projectionon vec c is (1)/(sqrt(3)), is given by

If vec A =4 hat I + 6 hat j -3 hat k and vec B =- 2 hat I -5 hat j + 7 hat k , find the angle between vec A and vec B .

If vec a=2hat i-2hat j+hat k,vec b=2hat i+3hat j+6hat k and vec c=-hat i+2hat k then find the magnitude and direction of the vector vec a-vec b+2c

If vec A + vec B =3 hat I + 6 hat j + 2 hat k and vec A - vec B = 6 hat I + 3 hat j - hat k . Find the magnitude of vec A and vec B and their scalar product vec A . Vec B .

RESONANCE DPP-JEE MAINS-All Questions
  1. vec a and vec b are two non-collinear unit vectors vec a,vec b, x vec ...

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  2. Set of all values of x satisfying the inequality |2x^2-4x-7|<[1+1/2((...

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  3. If vec b is a vector whose initial point divides thejoin of 5 hat ...

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  4. Let ' n ' is the number of ordered pair (x ,y) satisfying the system o...

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  5. Vectors aa n db make an angle theta=(2pi)/3dot If | vec a|=1,| vec b|=...

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  6. S straight line with slope 2 and y-intercept 5 touches the circle x^2+...

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  7. The function g(x) =[ x+b, x < 0; cos x, x >= 0, can be made differenti...

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  8. The difference between the greatest and least value of function f(x)=c...

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  9. Comprehension (Q. No. 6 to Q. No. 8) Let (x1, y1)&(x2, y2) are the sol...

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  10. The incorrect statement is pvecq is logically equivalent to ~ pvvqdot ...

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  11. The equation 8sinx=(sqrt(3))/(cosx)+1/(sinx), has (a)General solutio...

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  12. If f(x)=((x^2)/(x^b))^(a+b)*((x^b)/(x^c))^(b+c)*((x^c)/(x^a))^(c+a) ,...

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  13. If f be a function defined on the set of non-negative integers and ta...

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  14. If the solution set of the inequaiton (x+4)(x-1)(x-3)(x+1)<0 is x(a , ...

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  15. Which pair(s) of function(s) is/are equal? f(x) = cos(2tan^-1 x) ;g(x)...

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  16. Which of the following are true for the inequation (x-1)(x-2)(x-4)(x-9...

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  17. Let f: R->R be given by f(x)=[x]^2+[x+1]-3 , where [x] denotes the gre...

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  18. Complete solution set of the inequation (x^2-1)(x^2-6x+8)geq0 is (a...

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  19. If domain of f(x) be (-1, 2), then (1) domain of f(sin x) will be (-oo...

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  20. If a+b+c=0 and a^2+b^2+c^2=1, then (a) a b+b c+c a=1/2 (b) a b+b...

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