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Answer the following.
Two honeybees are flying parallel to each other in the garden to collect the nectar. The path…
Two honeybees are flying parallel to each other in the garden to collect the nectar. The path traced by the bees is given in the form of a straight line. The equation of the path traced by one honeybee is $\vec{r} = (\hat{i} + 2\hat{j} + 3\hat{k}) + \lambda(2\hat{i} + 3\hat{j} + 4\hat{k})$.
(a)[1.0]
Write the above-mentioned equation in cartesian form.
(b)[1.0]
Find the equation of the path traced by the other honeybee passing through the point $(2, 4, 5)$.
Answer
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From ISC 2025 Mathematics Paper 1, question 15(iv).
Check your working with the 3D geometry and vectors calculator: points, vectors, lines and planes: distances, angles, foot and image, shortest distance, intersections.