CT3-1The solid line has length A and makes an angle with the negative y-axis. What is the length of the dotted line?Pink: A cosYellow: A sinGreen: A tanBlue: sin/APurple: cos/AAnswer: A cosConsider the vector Aur. What is the x-component of Aur ?Pink: A cos Green: A sin Yellow: Something else/don't know.x y A A A cos x y AAnswer: Something else! Ax = - A cos . The x-component of the vector A is NEGATIVE.CT3-2 Can two vectors of unequal magnitude sum to zero?Green: Yes. Pink: No.Answer: No, the only way two vectors can sum to zero is if they have the same magnitude and opposite directions.Can three vectors of equal magnitude sum to zero?Green: Yes. Pink: No.Yes, if the three vectors have equal length and have directions such that they can form thesides of an equilateral triangle:CT3-3 Vectors C and ,B,A sum to zero. Vectors B and A are at right angles to each other. What is the magnitude of C, C?Pink: A+B Yellow: A-BGreen: 22BA Blue: Impossible to tell from the information given.Answer:Green, by Pythagorean Theorem.CT3-4Three vectors A B and C, , are as shown. Which vector is S A B C ?Answer: None of these. The x-component of vector S is Sx = Ax + Bx - Cx = 0 -2 - (-3) = +1. None of the first 4 answers has an x-component of +1.C B A A C Pink Blue Green Yellow Purple: None of these!
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