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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 .

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