Use the determinant to compute the area of the parallelogram induced by the following two vectors: 6.2 01 = [6²4] -3.4 Area Number -5.1 .62 = [32].

Q: Use the dot product to determine whether v = 5i and w = -6j are orthogonal.

A: Given:

Q: Q3) Find the value of x,y from solve these equations by using the Determinants:- 2x + 4y = 10 x – 5y…

A:

Q: Evaluate ( 3+j4)( 3+j4) = A +jB, determine the real component A

A: Given,              (3+j4)(3+j4)=A+jB

Q: 12 10 312 4 3 1

A:

Q: Evaluate into rectangular form 2 = 15 + j8 4+j 4. 4+j

A:

Q: 1. Calculate the area of the parallelogram spanned by the vectors Á = and B = .

A:

Q: Use complex numbers to transform the following vectors, rotating by the angle and scaling by the…

A:

Q: Calculate the dot product, of u and v, where u = 58 î - 75 ĵ + 12 k and 34 Î – 73 ĵ - 97 k. = u.v=

A:

Q: Use the adjoint of A to find A−1, where

A:

Q: Find the dot product: (5, —3) о (2, 3) O 1 O -1

A:

Q: Use determinants to find y in the below equations: 7x + 5y - 3z - 16 = 0 3x - 5y + 2z+8 = 0 5x + 3y…

A:

Q: Find the determinant of the vector A = 2i+ 5j + 6k and B = 8k

A: determinant is nothing but finding the cross product. so, determinant of two vectors A and B = A×B

Q: Find the cross product a x b. a = j + 6k, b = 3i - j + 5k Verify that it is orthogonal to both a and…

A:

Q: 2x-y 2 2 + y+3x 3 2 =1

A:

Q: Let a = (5, 4) and b = (5, – 8). Compute the dot product. a b

A:

Q: Use the dot product to determine whether v = 5i and w = -6i are orthogonal.

A: The given vector is v=5i  and  w=6i known fact: Two vectors a and b are orthogonal (perpendicular)…

Q: Given the points (-1, 3), (0, 1), (1, 3), and (2, 9), solve the equation Ax = b for x = c de to find…

A:

Q: Find the dot product v • w. v = 6i + 8j, w = – 13i – 8j O A. - 78 А. О В. - 14 О С. -64 O D. - 142

A: Explanation of the answer is as follows

Q: |2 In x 1 et 2 1 In 2x

A:

Q: (x²-3y2) dx + 2xy dy =o

A: To solve the following differential equation.x2-3y2 dx+2xy dy=0

Q: The radius of a circular disk is given as 24 cm with a maximum error in measurement of 0.2 cm. (a)…

A: Solution:

Q: Given u⃗ =⟨2,−5⟩ and v⃗ =⟨4,−4⟩, find the dot product u⃗

A: