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UCB - MCD4500 Engineering Mathematics - Trimester 2 - 2025

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What is the minimum distance between the lines

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Write down a vector equation for the line passing through the points

and

.

For example, enter your answer as: (1,2,3)+s(4,5,6)

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Let

,

,

and

.

Compute

.

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Calculate the cross product

where

and

.

If the answer is a vector write the answer in < > style.

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Which of the following is a plane passing through the points , , and ?

Please select all correct answers.

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Does the point lie on the line ?

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In what direction does the vector

point?

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where , represents a straight line.

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where represents a straight line.

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a b c is a vector.

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