1. Tardigrade
  2. Question
  3. Mathematics
  4. The projection length of a variable vector x hati+y hatj+z hatk on the vector vecp= hati+2 hatj+3 hatk is 6 . Let ℓ be the minimum projection length of the vector x2 hati+y2 hatj+z2 hatk on the vector vecp, then the value of √[3]l2+152 is

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Q. The projection length of a variable vector $x \hat{i}+y \hat{j}+z \hat{k}$ on the vector $\vec{p}=\hat{i}+2 \hat{j}+3 \hat{k}$ is 6 . Let $\ell$ be the minimum projection length of the vector $x^2 \hat{i}+y^2 \hat{j}+z^2 \hat{k}$ on the vector $\vec{p}$, then the value of $\sqrt[3]{l^2+15^2}$ is

JEE AdvancedJEE Advanced 2018

Solution:

Correct answer is '9'