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Shown below is a cuboid. Find BA→.BC→ - Mathematics

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Question

Shown below is a cuboid. Find `vec(BA).vec(BC)`

Diagram

Solution

Placing the coordinate axes as illustrated, coordinates of A is (2, 0, 0), B(0, 4, 3) and C(1, 4, 0).


∴ `vec(BA) = 2hati - 4hatj - 3hatk` and `vec(BC) = hati - 3hatk`

∴ `vec(BA).vec(BC)` = 2 + 9 = 11

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