Let the position vectors of points 'A' and 'B' be \stackrel{\^}{{i}}+\stackrel{\^}{{j}}+ \stackrel{\^}{{k}} and 2 \stackrel{\^}{{i}}+\stackrel{\^}{{j}}+3 \stackrel{\^}{{k}}, respectively. A point 'P' divides the line segment AB internally in the ratio \\lambda:1(\\lambda>0) . If {O} is the origin and \overrightarrow{{OB}} .\overrightarrow{{OP}}-3|\overrightarrow{{OA}} \times\overrightarrow{{OP}}|^{2}=6, then \\lambda is equal to _______. [2 Sep 2020 Shift 2]

Vector Algebra Part 1

Section: Mathematics

Question : 27 of 100

Marks: +1, -0

Let the position vectors of points 'A' and 'B' be

and 2

, respectively. A point 'P' divides the line segment AB internally in the ratio λ:1(λ>0). If O is the origin and

→

−3|

→

|2=6, then λ is equal to _______.

[2 Sep 2020 Shift 2]

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