Given that a = 2î + ĵ, b = 3î - 4ĵ and c = î+ĵ, find

Q: Given the vectors w = and z = , find the results of the vector subtractions. -W-Z= Z-W= W-Z=

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Q: Vectors are used in computer graphics to calculațte the lengths of shadows over flat surfaces. The…

A: Given that Vector (a) =(1. 3 ,8.9) We have to find length of shadows

Q: Determine ä xb and bxå. Confirm that the cross product is orthogonal to each vector. ā=[4, –3, 5],…

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Q: Let ū= 2 + 2Ĵ - 2k and J = 2î - 2Ĵ + k. + Verify that the vectors i and I are perpendicular and have…

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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: : For given vectors, a-2i - j+ 2k and b=-i + j- k, find the unit vector in the direction the vector…

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Q: Show that direction vectors of the lines 3 L: and

A: We have to find the direction vectors for the lines L1: x-32=y+14=z-2-1 and L2: x-35=y+1-2=z-32.

Q: Given vectors u = 2xi + 9j and v = xi - 4j, find x so that u and v are orthogonal.

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Q: Find a vector v such that ||v||=20 and v is in the same direction as 15i+15j.

A: The parallel vector of a vector is the scalar multiple of the vector, and if scalar is positive then…

Q: sider the following scenario. ilot is steering a plane in the direction N 45° W at an air-speed…

A: True course and ground speed

Q: Given u = and v = , sketch u - 2v and identify the direction (from standard position a.k.a. (+)…

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Q: Given the points C(-4, –5) and D(-1, 1), express the vector CD in terms of i and j.

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Q: For unit vectors v and w, find the dot products of: v and -v: v+w and vw: v+2w and v2w: 1v2w and lv…

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Q: Let i = [1 -4] and y = [4 -6]. Find the following vectors. i = 57 ü = 2g =| w = 5i + 2j =||

A: The solution is given below:-

Q: Compute the following cross product. Then make a sketch showing the two vectors and their cross…

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Q: Let u = (-3,4) and v = (2, –5). Find (a) the component form of the vector 3u – 4v and (b) its…

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