JEE Main 202628 Jan, Morning shiftMathematicsEasyVector Algebra184× since 2002For three unit vectors a⃗,b⃗,c⃗\vec a,\vec b,\vec ca,b,c satisfying ∣a⃗−b⃗∣2+∣b⃗−c⃗∣2+∣c⃗−a⃗∣2=9|\vec a-\vec b|^2+|\vec b-\vec c|^2+|\vec c-\vec a|^2=9∣a−b∣2+∣b−c∣2+∣c−a∣2=9 and ∣2a⃗+kb⃗+kc⃗∣=3|2\vec a+k\vec b+k\vec c|=3∣2a+kb+kc∣=3, the positive value of k isAOption A. 4BOption B. 5COption C. 3DOption D. 6CheckSkip · show solution
