Let two non-collinear unit vectors â and b̂ form an acute angle. A point P moves such that at any time t the position vector OP, where O is the origin, is given by OP = â sin(t) + b̂ cos(t). When P is farthest from the origin O, let M be the length of OP and û be the unit vector along OP, then:

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Mathematics · Vector Algebra

Verified Solution4 OptionsUpdated: October 2026👁️1 View

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Correct answer

û = â + b̂|â + b̂| and M = (1 + 2â · b̂)1/2

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Answer 1

û = â - b̂|â - b̂| and M = (1 - 2â · b̂)1/2

Answer 2

û = â + b̂|â + b̂| and M = (1 + 2â · b̂)1/2

Answer 3

û = â - b̂|â - b̂| and M = (1 + â · b̂)1/2

Answer 4

û = â + b̂|â + b̂| and M = (1 + â · b̂)1/2

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