{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

Physics 1 Problem Solutions 36

Physics 1 Problem Solutions 36 - 32 Chapt 3 Vectors and...

This preview shows page 1. Sign up to view the full content.

32 Chapt. 3 Vectors and Trigonometry Full-Answer Problems 003 qfull 00350 1 3 0 easy math: prove law of sines 1. The law of sines is sin θ a a = sin θ b b = sin θ c c , where a , b and c are the sides of a general triangle and θ a , θ b , θ c are the angles opposite those sides. Prove the law of sines. HINT: Use trigonometry and draw an illustrative diagram. 003 qfull 00510 1 3 0 easy math: adding two vectors 2. You are given two vectors in component form: vector A = (3 . 2 , 4 . 2) and vector B = ( 10 . 5 , 3 . 0) . a) Give the vector sum vector A + vector B and vector difference vector A vector B in component form. b) What is the magnitude of vector A + vector B ? c) What is the angle of vector A + vector B relative to the positive x -axis? The positive x -axis is the normal reference direction on the Cartesian plane. 003 qfull 00640 2 3 0 moderate math: vector identity: sum and difference 3. If the sum of two vectors is perpendicular to their difference, prove that the vectors have equal magnitude. HINT: Use the dot or scalar product of sum and difference.
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

Ask a homework question - tutors are online