Angle bisector of two vectors

JEE Main Mathematics · Vectors · 6 questions, latest first

• Let P be a point in the plane of the vectors A B=3 i+ j- k and A C= i- j+3 k such that P is equidistant from the lines AB and AC.…202628 January, Shift 2 · Q14
• Let P Q R be a triangle such that P Q=-2 i- j+2 k and PR=a i+b j-4 k, a, b ∈ Z. Let S be the point on QR, which is equidistant…202628 January, Shift 1 · Q23
• Let A, B, C be three points in x y -plane, whose position vector are given by √3 i+ j, i+√3 j and a i+(1-a) j respectively with…202528 January, Shift 2 · Q14
• Consider a ABC where A(1,3,2), B(-2,8,0) and C(3,6,7). If the angle bisector of ∠ BAC meets the line B C at D, then the length of…20241 February, Shift 2 · Q17
• Let O be the origin and the position vectors of A and B be 2 i+2 j+ k and 2 i+4 j+4 k respectively. If the internal bisector of ∠…202429 January, Shift 1 · Q18
• The position vectors of the vertices A, B and C of a triangle are 2 i-3 j+3 k, 2 i+2 j+3 k and - i+ j+3 k respectively. Let l…202427 January, Shift 2 · Q18