Points A, B and C are defined by position vectors 2i – j – 4k, –i +j+2k and i – 3j– 2k respectively. Point M is on the line segment AB such that |AM| = a Find: i AM ii the position vector of N, the midpoint of CM b Hence show that AŃ 1 CM.

Q: Given vector u= (-3, 3) and v = (6, –2), determine the value of 4u + v in | component form.

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Q: Let A and B be the points defined by the position vectors a = 3i+j and b = 4i-2j, respectively.…

A: A and B be the points defined by the position vectots,To find,the shortest distance from A to the…

Q: 2. Find the exact angle between vectors a = 3 î - j - 2k – 18 10 b = v – w, wherev = 2î + ĵ + 4kandŵ…

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Q: Find the angle between the vectors 8i + 9j + 10k and 6i + 11j + 12k. ... The angle between 8i + 9j +…

A: Given that: vectors are: 8i+9j+10k and 6i+11j+12k

Q: 2. For v = (5,-2) and w = (3, 4), find v+w, v - w, v/2, -w and make one sketch labeling all 6 of…

A: Given,           v=<5,-2> and w=<3,4>

Q: If the points with position vectors 10i+3j.12i-5j and ai+11j are collinear, Find the value of a.

A: The position vectors of the points which are collinear is: 10i+3j ,     12i-5j ,      ai+11j

Q: Given vector u = (-3,2) and v = (-3, –1) , determine the value of v – 2u ir component form.

A: We can determine the component form as below.

Q: Given the points A: (-6,6,-5) and B: (3,-1,0), find the vector i AB i = <

A: Since, we have been given the points A (-6,-6, 5) and B(3,-1, 0).Our Aim is to find the vector u⇀…

Q: OABC is a parallelogram where O is the origin. The position vectors of A and B are 4i + 6j and 6i +…

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Q: i+ 2j+ k and w = 2i - j+ 4k. Find the area of the parallelogram with sides given as v and w. !!

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Q: If v = 7i + 3j and w = 4i - 5j, find the vector v - w

A: If v = 7i + 3j and w = 4i - 5j, find the vector v - w

Q: The vector from the origin to point A is given as 2â - 2ý, and the unit vector directed from the…

A: Given that  The vector A is 2x-2y Unit vector is 2x/3+2y/3-z/3 Distance from a to b is 14.4 To find…

Q: The vector from the origin to point A is given as 4x-4y, and the unit vector directed fron the…

A: Please post the second question separately.

Q: Given the points A: (-2,2,-6) and B: (4,3,6), find the vector u = AB u = <

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