(3) For what value(s) of a will the vectors u = 2i + 4j-5k and v= -4i-8j + ak be parallel? V ا ) وہ کو ں کی

Q: How to calculate the cross products of vectors ? = {3,4,7} and ? = {4,9,2}?

A: GIVEN: Two vectors {3, 4, 7} and {4, 9, 2}

Q: 2. Find the angle between vector [2, -5,7] and vector [6,4,1]

A: Vector [2,-5,7] and vector [6,4,1]  We have to find angle between these two vectors

Q: For the pair of vectors, find U + V, UV, and 3U - 4V. U = (-7, 0), V = (0,5) U + V = U-V= 3U - 4V =

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Q: Find 3-dimensional vectors V₁, V₂, V, satisfying V₁V₁ = 4, ₁₂ = -2, V₁ V₂ = 6, V₂ V₂ = 2₁ V₂ V₂ =…

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Q: sider the following coordinates and vectors, A(-2, 1, 0), B(2, -2,0), u = 3i + 2k, v = 4i + 7j+5k,…

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Q: B/ For what value

A: For two vectors to be perpendicular their dot product or scalar product should be 0.

Q: Q4\ Find the vector if its magnitude equal √90 and its unit vector is 4i 5j 7k + √90 √90 √90 -

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Q: The angle between the two vectors 1= (-9, –4, 7) and v = (36, 16, -28) is Select one: True False

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Q: Let a = [3, -7] and b = [-5, 11].

A: given that the two vectors a=[3,-7] b=[-5,11] To plot and check which one is greater.

Q: Do the vectors ū = i+j-4k, V= -5i +3j-7k and w'= -i +4j+2k plane? 1ie in the Same

A: We have to check whether the vectors u→=i+2j-4k, v→=-5i+3j-7k, and w→=-i+4j+2k are in the same…

Q: Let a and b be two unit vectors. 1) a x (a.b) 2) a . (axb) 3) a . (a+(axb)) 4) (axb) + (bxa)…

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Q: Vector A is 6 inches long and is 60° above the +x-axis in the first quadrant. While vector B is 6…

A: Shown here are two vectors as given in the question. Resolve the first and second vector on the x…

Q: 3) |x| = 7, y = 8, and|x - y = 10, determine | x + y. Hint: sketch out these 4 vectors on the same…

A: We know that the vector parallelogram rules  ||A+B||^2+||A-B||^2=2||A||^2+2||B||^2

Q: 4) Consider the vectors u = [3, -2] and v= [-5, 4], write a = [-24,18] as a linear combination of u…

A: The given vectors  and .The objective is to write the vector  as a linear combination of  and .

Q: Find the angle between two vectors u = and v =

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Q: 2: True or false, the vectors u = (2, 4,-2) and U=(4, 8, -4) are parallel. Explain your answer.

A: We have given two vectors,Vectors having the same direction are called parallel vectors.Two vectors…