Homework 12.4-solutions

009 100 points find the area of the triangle having

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Unformatted text preview: nd C only a × b = −b × a . 4. A and C only C. TRUE: if θ, 0 ≤ θ ≤ π , is the angle between a, and b, then 5. B only 6. C only correct |a × b| = |a||b| sin θ , so if a = 0 and b = 0, then 7. A only 8. A and B only |a × b| = 0 =⇒ sin θ = 0 . Explanation: Thus θ = 0, π . In this case, a is parallel to b. A. FALSE: if θ, 0 ≤ θ ≤ π , is the angle between a, and b, then keywords: |a · b| = |a||b| cos θ , while a × b = |a||b| sin θ . 009 10.0 points Find the area of the triangle having vertices P (3, −2) , Q(−2, 3) , R(1, −1) . mehmood (ajm4462) – Homework 12.4 – karakurt – (56295) 5 correct 2 3 2. area = 2 2. length = 12 3. area = 1 5 4. length = 24 1. area = 4. area = √ 3. length = 12 3 5. length = 0 correct 1 2 Explanation: The length of a × b is given by 5. area = 2 Explanation: To use vectors we shall identify a line segment with the corresponding directed line segment. Since the area of the parallelogram having adjacent edges P Q and P R is given by − − →− → |P Q...
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This homework help was uploaded on 02/19/2014 for the course M 56295 taught by Professor Odell during the Spring '10 term at University of Texas at Austin.

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