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

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 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: Find the vector component of v = (4, – 1, 7) alongb = (1, 2, –2) and the vector component of v…

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

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Q: Find the vector component of v = (4,–1, 7) along b = (1, 4, -8) and the vector component of v…

A: Given: v=4,-1,7 & b=1,4,-8   We know that; The expression for the vector projection v onto b is:…

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: Find equation of Plane that an contains the vector: and 1-6 and Z=36

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Q: Given vectors u = <-3, -7> and v = <-1, 5>, find the resultant vector  u + v.

A: The objective of this question is to find the resultant vector when two given vectors are added…

Q: In the figure to the​ right, it looks as if v1+v2 and v1−v2 are orthogonal. Under what circumstances…

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

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