Question

5. [Maximum mark: 6] A garden has a triangular sunshade suspended from three points \( A(2,0,2), B(8,0,2) \) and \( C(5,4,3) \), relative to an origin in the corner of the garden. All distances are measured in metres. (a) (i) Find \( \overrightarrow{\mathrm{CA}} \). (ii) Find \( \overrightarrow{\mathrm{CB}} \). (b) Find \( \overrightarrow{\mathrm{CA}} \times \overrightarrow{\mathrm{CB}} \). (c) Hence find the area of the triangle ABC .

          5. [Maximum mark: 6]

A garden has a triangular sunshade suspended from three points \( A(2,0,2), B(8,0,2) \) and \( C(5,4,3) \), relative to an origin in the corner of the garden. All distances are measured in metres.
(a) (i) Find \( \overrightarrow{\mathrm{CA}} \).
(ii) Find \( \overrightarrow{\mathrm{CB}} \).
(b) Find \( \overrightarrow{\mathrm{CA}} \times \overrightarrow{\mathrm{CB}} \).
(c) Hence find the area of the triangle ABC .

5. [Maximum mark: 6]

A garden has a triangular sunshade suspended from three points A(2,0,2), B(8,0,2) and C(5,4,3), relative to an origin in the corner of the garden. All distances are measured in metres.
(a) (i) Find CA.
(ii) Find CB.
(b) Find CA×CB.
(c) Hence find the area of the triangle ABC .

Added by Julia G.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Ahmet Yavas

Step 1

- \( A(2, 0, 2) \) - \( B(8, 0, 2) \) - \( C(5, 4, 3) \) Show more…

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5. [Maximum mark: 6] A garden has a triangular sunshade suspended from three points \( A(2,0,2), B(8,0,2) \) and \( C(5,4,3) \), relative to an origin in the corner of the garden. All distances are measured in metres. (a) (i) Find \( \overrightarrow{\mathrm{CA}} \). (ii) Find \( \overrightarrow{\mathrm{CB}} \). (b) Find \( \overrightarrow{\mathrm{CA}} \times \overrightarrow{\mathrm{CB}} \). (c) Hence find the area of the triangle ABC .