1. Determine the single positive vector that is the resultant of: CD ED + AB - CB D

Q: Express the vector = [4] à = vi+ as a a linear combination of ₁ = [] [1] and = [] 02 V2-

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Q: C A

A: We use Triangle law

Q: Calculate [1, 2, 2] x [5, -5, -1] -

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Q: Find a vector v such that v = 15 and v is in the same direction as –li + 13j

A: The solution is given as

Q: Find the cross product x . Is the resulting vector perpendicular to the given vectors? O ; yes O ;…

A: Vectors < -1, -3, -8 > and < 7, 4, -5> . To find cross product.

Q: 1. Add the following three vectors to find the resultant vector, R: šj = (-2,0)m, .ž= (0,–5,)m, .řz…

A: 1.   x1¯  =  (-2,0)mx2¯  =  ( 0, -5)mx3¯   =  (3,0)m Now , In the East - west direction ,  we deal…

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: Find the equations of the traces in the coordinate planes and sketch them z = x2 +9y2

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Q: ·004 [5] Write the vector v = 3 as a linear combination of the vectors: 0 LoJ

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Q: Find all values of b for which the vectors are orthogonal 〈b, 3, 2〉,〈1, b, 1〉

A: Concept - If two vectors say u and v are orthogonal, then their dot product is equals to zero.That…

Q: Find the projection of vector u⃗ = −i + 5j + 3k onto the vector v = −i + j − 3k?

A: Projection of vector u on vector v is given by  Projv(u) = u.vv2 v Here u = -i+5j+3kv = -i+j-3k…

Q: Consider the points A (10, 9) and B (0, – 7). Find the vector AB. АВ

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Q: Find the cross product of the vectors ä = and b = .

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Q: Use the triple scalar product to find the value of p that makes the three vectors below coplanar.…

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Q: Say that a is a vector (nonzero) in the third dimension. b and c are two other vectors. If a x b = a…

A: Given: The statement is a×b=a×c where a, b, and c are vectors. The vector a is a nonzero vector. To…

Q: Find a vector orthogonal to both v and W. v = 3i + 2j + k, w = -5i - 5j - k 3i - 2j - 5k -3i + 2j -…

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Q: Determine whether the vectors u = (-3,9,6) and v = parallel, (4, –12, –8) are orthogonal, or…

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Q: If vector a= and vector b=, find a · b (the dot product of vector a and vector b).

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Q: Let å = (- 5, 5, – 3) and b = (4, – 1, 0). Find a unit vector which is orthogonal to å and b and has…

A: Given query is to find the unit vector orthogonal to a and b

Q: The orthogonal vectors are also independent.

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Q: Consider the following vectors: 2 -3 u = 2 v = w = -6 3 a. Do these vectors form an orthogonal set?…

A: For linearly independent vector set orthogonal is equal to orthonormal vector. Please find the…

Q: If v + w = [ 5/1 ] and v - w = [ 1/5 ],compute and draw the vectors v and w.

A: Vector: An object which has both magnitude as well as direction is called a vector. We can draw a…