The points with position vectors `60 i+3j ,40 i-8j ,a i-52 j` are collinear if a. `a=-40` b. `a=40` c. `a=20` d. none of these

The points with position vectors 60hati+3hatj,40hati-8hatj,ahati-52hatj are collinear iff (A) a=-40 (B) a=40 (C) a=20 (D) none of these

If the points with position vectors 60 hat i+2 hat j , 40 hat i-8 hat ja n da hat i-52 hat j are collinear, find the value of adot

If points hat i+ hat j , hat i- hat ja n dp hat i+q hat j+r hat k are collinear, then a. p=1 b. r=0 c. q R d. q!=1

Show that the points with position vectors 2 hat i + 6 hat j + 3 hat k , hat i + 2 hat j + 7 hat k and 3 hat i + 10 hat j - hat k are collinear.

If the four points with position vectors −2 hat i+ hat j+ hat k, hat i+ hat j + hat k, hat j – hat k and λ hat j+ hat k are coplanar, then λ=

Show that the points with the position vectors 2 hat i + 6 hat j + 3 hat k, hat i + 2 hat j + 7 hat k and 3 hat i + 10 hat j - hat k are collinear.

Let x^2+3y^2=3 be the equation of an ellipse in the x-y plane. Aa n dB are two points whose position vectors are -sqrt(3) hat ia n d-sqrt(3) hat i+2 hat kdot Then the position vector of a point P on the ellipse such that /_A P B=pi//4 is a. +- hat j b. +-( hat i+ hat j) c. +- hat i d. none of these

Find the projection of the vector hat i + hat j on the vector hat i - hat j .

The ratio in which the line segment joining the points whose position vectors are 2 hat i-4 hat j-7 hat ka n d-3 hat i+5 hat j-8 hat k is divided by the plane whose equation is hat rdot( hat i-2 hat j+3 hat k)=13 is a. 13 : 12 internally b. 12 : 25 externally c. 13 : 25 internally d. 37 : 25 internally