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Choose the correct option.

If and and , find such that is perpendicular to is

Mathematics20231 markMCQ
If $\vec{a} = \hat{i} + 2\hat{j} + 3\hat{k}$ and $\vec{b} = -\hat{i} + 2\hat{j} + \hat{k}$ and $\vec{c} = 3\hat{i} + \hat{j}$, find $t$ such that $\vec{a} + t\vec{b}$ is perpendicular to $\vec{c}$ is
  • (a)$0$
  • (b)$5$
  • (c)$4$
  • (d)$2$

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Vectors

From ISC 2023 Specimen Mathematics Paper 1, question 15(i).

Check your working with the 3D geometry and vectors calculator: points, vectors, lines and planes: distances, angles, foot and image, shortest distance, intersections.