Write the vector v in terms of i and j whose magnitude ||v|| and direction angle 0 are given. V = 8, 0 = 30° %3D O v = 42i+ 42j v = 43i+ 4j O v= -4/3i + 4j V O v = 4i + 4/3j

Q: Specify the unit vectors a = 2i + 3j-k and b = 3i + 4j.

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Q: Find the direction cosines of v =〈3, 6, −2〉.

A: Given vector is v=3,6,-2. To find the direction cosines of given vector. Solution: We know that if…

Q: Find the angle between the vectors u = /2i - 9j and v =v2i+j-2k.

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Q: Find the angle between u = i - 2j - 2k and v = 6i + 3j + 2k.

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Q: GIven vectors =(-5,9) and v = (-1, 1), find u v. %3D

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Q: Find the angle between the vectors v = 4i - 3j and w = i + 2j. Round to the nearest tenth of a…

A: Given vectors,v=4i-3j  and w=i+2jwe have to find the angle between given vectors