HW 2 - Math E-21a Fall 2009 HW #2 problems Problems to turn...

Info iconThis preview shows pages 1–2. Sign up to view the full content.

View Full Document Right Arrow Icon
Math E-21a – Fall 2009 – HW #2 problems Problems to turn in on Thurs, Sept 17 : Basic Concept Problems : (a) Prove the Pythagorean Theorem . [ Hint : This can be done, for example, by considering the areas of plane figures like squares and triangles.] (b) Prove the Law of Cosines using only the Pythagorean Theorem and some algebra and trigonometry. You may find the diagram shown at the right useful. [Show that 22 2 CAB2 A B c o s  ] Section 9.3: 16. Find, correct to the nearest degree, the three angles of the triangle with the vertices D (0, 1, 1), E (–2, 4, 3), and F (1, 2,–1). 24. Find the scalar and vector projections of b onto a : 1, 2 a , 4,1  b 25. Find the scalar and vector projections of b onto a : 3, 6, 2 a , 1, 2, 3 b 37. Find the angle between the diagonal of a cube and one of its edges. 40. If  ca bb a , where a , b , and c are all nonzero vectors, show that c bisects the angle between a and b . Section 9.4: 14. Find two unit vectors orthogonal to both i + j + k and 2 i + k .
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Image of page 2
This is the end of the preview. Sign up to access the rest of the document.

Page1 / 2

HW 2 - Math E-21a Fall 2009 HW #2 problems Problems to turn...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online