Position vector and section formula

JEE Main Mathematics · Vectors · 6 questions, latest first

• Let the three sides of a triangle ABC be given by the vectors 2 i- j+ k, i-3 j-5 k and 3 i-4 j-4 k. Let G be the centroid of the…20254 April, Shift 2 · Q24
• Let the position vectors of three vertices of a triangle be 4 p+ q-3 r,-5 p+ q+2 r and 2 p- q+2 r. If the position vectors of the…202524 January, Shift 2 · Q16
• Let the point A divide the line segment joining the points P(-1,-1,2) and Q(5,5,10) internally in the ratio r: 1(r>0). If O is…202523 January, Shift 2 · Q20
• Let the position vectors of the vertices A, B and C of a triangle be 2 i+2 j+ k, i+2 j+2 k and 2 i+ j+2 k respectively. Let l_1,…202427 January, Shift 2 · Q17
• If the points P and Q are respectively the circumcenter and the orthocentre of a A B C, then P A+ P B+ P C is equal to202310 April, Shift 2 · Q17
• Let P Q R be a triangle. The points A, B and C are on the sides Q R, R P and P Q respectively such that (Q A)/(A R)=(R B)/(B…202324 January, Shift 1 · Q78