Find u x v, v x u, and v x v. u = 5i + 9k v = 6i + 9j - 5k. (a) u xv (b) vxu (c) vxv

Q: f(3x² cot 2x³ csc 2x³) dx O-csc 2x³ + C CSC O csc 2x³ + C Ocsc 2x³ + C CSC O-csc 2x³ + C

A: We can solve as follows

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A: We need to find 5u+32 at u=3. So,       5u+32=5(3)+32=182=9.

Q: Verify that (AB)T = BTAT.

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Q: sec² (w) - -dw 4w2 +1 10.

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A:

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A:

Q: Find u x v, v x u, and v x v. u = (2, -9, –1) v = (9, -2, -6) (a) ux v (b) v xu (c) v x v V

A: We need to find cross product.

Q: 2+1 dt

A:

Q: (-2 + 7i) + (6 + 2i)

A: We have to find (-2 + 7i) + (6 + 2i)

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A: By substitution method, solve the integration. Put x = 2sec(theta)

Q: Find u+v-2u. U= = (5, 3) and v = (-3,5) u+v-2u=

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Q: Express in the form of x + iy: 6-7i (i) 5+i 1 + (3+i)2 1 (ii) (3-i)2

A:

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A: Given: v = (−2, 1, 4) and w = (3, 2, 5)

Q: 2x+1 dx.

A:

Q: Sketch v = (−2, 1), w = (2, 2), v + 2w, v − 2w.

A: Given vector, v = (−2, 1), w = (2, 2)

Q: Multiplt. 3i(4-i)

A:

Q: [-3i-2j]-[-2i-5j]= ◆ 2 + j

A: We have to find the subtraction between the given vector functions. We have, -3i→-2j→--2i→-5j→

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A: Factorize each expression to express them in terms of their factors.…

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A:

Q: ..=A+B Ā +B al. B = 2ī + 2j - 2K 3Ā = -i- 3j- k US 1/

A: Given A¯ = -i¯-3j¯-k¯B¯ = 2i¯ +2j¯ -2k¯

Q: Let z1 = -5 + 14i and z2 = 5 – i. Find z122 and (z1z2). 7122 (2122) ||

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Q: Given the vectors V and w in the figure below, X 13 근 AREA = 60 units² y

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Q: Q9. (0,3) – 2i +1 = а. - 2i + 2 b. -2 – 2i с. (-1,1) d. (1,–1)

A: Substraction of two complex numbers

Q: If a 10î + 10f + 5k, b = 5i – 2j – 14k, è = 4î + 7j – 4k , find the value of å x (b x 2).

A: The cross product of two vectors a=a1i+a2j+a3k ,b=b1i+b2j+b3k can be calculated using determinant…

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A: Complex numbers are those numbers which is represented in the form of (a + ib) where is a real part…