5) The diagram shows a pyramid VOABC. The base of the pyramid, OABC, is a rectangle. The unit vectors i, j and k are parallel to OA, oC and OV respectively. The position vectors of the points A, C and V are given by OA = 6i, OČ = 3j and OV = 9k. %3D The points M and N are the midpoints of AB and BV respectively. a) Find the vector AN. b) Find the vector MN M c) The point P lies on OV and is such that PNM is a right triangle. Find the position vector of the point P

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Q: 14. The vectors a and b are given below. Use these vectors to sketch each of the following. za + b…

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Q: Resolve the vectors shown in the figure below into components. (Here, the vectors i=i and j-j)

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Q: The figure shows two vectors, A and B, with A = 6.59 m, B = 2.09 m, 0 = 47°, and = 14°. Let C = B-A.…

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Q: Let ā = (1, −1, −3) and 6 = (–1, −3, −5). Find the angle, in degrees, between the vectors.

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Q: Points A and B are defined by the position vectors a = i + 3j – k and b = i + 2j + 2k. a Find â. b…

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Q: Compute the dot product of the vectors u and v, and find the angle between the vectors. u = 9i +3j +…

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