Represent each of the following on an Argand diagram  i) Z1= -5 + 3i,  Z2= -1 + 7i   ii) Calculate│Z1+ Z2│

Q: If v = 5i + 4j and w = 6i - 9j, find 4v - 2w.

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Q: Solve for u. (u+3)² = 2u²+u+15 If there is more than one solution, separate them with commas.

A: Solution:-

Q: ii) Find the dot product of the vector a in part (i) with the displacement vector AB such that…

A: Given that  Following vectors  To find the dot product

Q: Let a = - 4i – 33+ 3k and b = 4i – 33+ 2k. Find a – 36.

A: given   a→=-4i→-3j→+3k→    and  b→=4i→-3j→+2k→ we have to find a→-3b→

Q: Solve the first order PDE -2и, + 6и, — 0, и (4у, у) — 2у + 1

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Q: If v = 7i + 3j and w = 4i - 5j, find 6v - 3w.

A: Given v=7i+3j and w=4i-5j We have to find 6v-3w. 6v-3w=67i+3j-34i-5j=42i+18j-12i+15j=30i+33j

Q: Suppose ū=i- j, v = −2i + 4j+3k and w = -5i + 4j. Compute the following values: |u| + |v|=| |-6u|…

A: Since you have posted a multi subparts question according to guidelines I will solve first(1,2,3)…

Q: 6.1 Calculate the order of the element a) (4,9) in Z18XZ18- b) (7,5) in Z12×Zg. c) (8,6,4) in Z18×…

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Q: Determine the values of a, b, c and d: (1+ 2x)a = 1 + bx + 24x° + dx3 + 16x4 ax2 + bx + c = 0 -b ±…

A: Given,(1+2x)a=1+bx+24xc+dx3+16x4

Q: Let à = 27 - 5j + 4k and b = − − 5j + 4k. Find -a + b. -ā +b =

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Q: Let Z₁ Z1 If = 22 m= n = F/1, and Z₂ = -3-4i, -40 +-=-5 i, calculate m and n: n

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Q: Let a = - 5i + 33 + 2k and b = - 4i – 3 + 4k. Find a x b. ä xb = k

A: Cross product is the binary operation on two vectors in three dimensional space. It again results in…

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Q: Let a = -27 +53 + 4k. Find a.

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Q: The formula in cell C2 is = A$2. Auto fill is used by dragging C2's auto fill box across to D2, E2,…

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Q: 1 2 A = 1 B 1 2 : , - compute AB 3 4

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Q: Find mJKL D 14x+3 L 14x +9 K

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Magnitude

A vector is an element with both direction and magnitude. A vector is represented using an arrow, where the arrow represents the direction of the vector and its length is represented using the magnitude. The set of vectors in space is known as vector space. The vectors can be added, subtracted, multiplied, and divided in a vector space. The image below shows a vector AB.