Given vectors, A=i + 3j and B=2i + 4j. Find the direction of C=6A - B, relative

Question

Given vectors, A=i + 3j and B=2i + 4j. Find the direction of C=6A - B, relative to the x-axis. A)130 degrees counterclockwise B)110 degrees counterclockwise C)-14 degrees counterclockwise D)74 degrees counterclockwise Let vectors, A=3i+4j-2k and B=2i+2j+2k. Find C such that A-5B+C=0 A) 6i-8j+3k B) 12i-8j+3k C)7i+6j+12k D)12i-3j-2k Given vectors, A=i + 3j and B=2i + 4j. Find the direction of C=6A - B, relative to the x-axis. A)130 degrees counterclockwise B)110 degrees counterclockwise C)-14 degrees counterclockwise D)74 degrees counterclockwise Let vectors, A=3i+4j-2k and B=2i+2j+2k. Find C such that A-5B+C=0 A) 6i-8j+3k B) 12i-8j+3k C)7i+6j+12k D)12i-3j-2k

Explanation / Answer

A=i + 3j B=2i + 4j C=6A - B = 6( i + 3j) -2i-4j = 4i-14 j let C makes an angle theta with x-axis then tan(theta) = 14 / 4 theta = 74.05 degrees i.e.,74 degrees clockwise (b).A=3i+4j-2k B=2i+2j+2k A-5B+C=0 from this C = 5B-A = 5(2i+2j+2k) -( 3i+4j+2k) = 7i+ 6j+12 k

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