Q3/A/ If ā = i - 2j + k, b = i+ 2j – 4k and č = 2i – 3j + k Find: i) (ā x b). (ā x c) ii) (ā x 5) x (ā x c) Q3/B/ For what value of 2, the vectors 2i – j+ 2k and 3i + 21j are perpendicular?

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Q: Find two vectors v1 and v2 whose sum is ⟨−5,0⟩, where v1 is parallel to ⟨5,1⟩ while v2 is…

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Q: Can three vectors in the xy plane, R^2, have u.v<0, v.w<0, w.u<0

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Q: Let u = -2i + 3j, v = 6i - j, w = -3i.Find specified vector 3u - (4v - w)or scalar.

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Q: Find the value of  x  so that the two vectors  (27,1,13)  and   (x,0,1)  are orthogonal

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Q: 3. Consider the vectors X and Y in R³ where X = -i+3j and Y = 4i - 2j + 2k. 1 Find the unit vector…

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Q: the component of vector a are ax=2.0 units and ay=3.0units while that of another vector b are Bx=…

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Q: The line that passes through the point (4, -2,0) and parallel to the vector (1, 2, –3) has symmetric…

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Q: 19. Show that the pair of vectors 8i+j and i-8j is perpendicular.

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Q: For which positive value of x are the vectors (-14x, 2, 1), (2, 3.x², –10) orthogonal?

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Q: a. Without doing any calculation, explain why one might conjecture that two vectors of the form (a,…

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Q: 4. If two vectors P = 4i + 6j - 8k and F = 6i - 8j • 4k are added together describe the…

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Q: Q2. Approve that the area of the parallelogram spanned by the vectors a= (2, -2, 1) and c= (-8, 8,…

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Q: how is C equal to the difference of vectors A and B?

A: Dear user, Please read the question. We need to express Vector A in terms of sum of  B and C.

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Q: Find parametriequations for the line described below. The line through the point P(4, -3, 3)…

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A: To find - Find two vectors v1¯ and v2¯ whose sum is -5, -3, where v1¯ is parallel to 2, 5 while v2¯…

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Q: Are the vectors v = 2i + 3j and w = 6i - 4j orthogonal?

A: Are the vectors v = 2i + 3j and w = 6i - 4j orthogonal?

Q: 9. Find both vectors of length 5 that are perpendicular to plane 2x + 2y +z - 4 = 0.

A: Explained below