[Video Solution] Let \vec a=\hat i+α\hat j+β\hat k,\ α,β\in\mathbb R. Let \vec b be such tha... | ASPIRE STUDY

Let \vec a=\hat i+α\hat j+β\hat k,\ α,β\in\mathbb R. Let \vec b be such that the angle between \vec a and \vec b is \dfracπ4 and |\vec b|^2=6. If \vec a*\vec b=3√2, then the value of (α^2+β^2)\,|\vec a*\vec b|^2 is: | Watch the step-by-step video solution for this NIMCET PYQ.