Consider the points on the vertices of a triangle given by A: (0,0,0), B: (1,2,3), and C: (0,3,0). (a) Use the scalar product to find the angle at vertex A in triangle ABC. (b) Use the cross product to find the area of triangle ABC.

Q: dot product: a = 8i + 3j and b = -4i - 6j

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Q: Consider the triangle with vertices A(2,3,5), B(-1, 4,4) and C(-2, -1,6). Use vector multiplication…

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Q: If z1 = 3 + j2 and z2 = 5 – j3 , what is the simplified form of z1 z2 ?

A: We know that the rectangular form of a complex number is written as z=a+jb where a and b are real…

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

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Q: Find the cross product u x 7 where =5i +4j -2k and 7 = (-1, -7,8). uxv=

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Q: Find the dot product 9) v = 12i + 9j, w = -10i – 8j

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Q: The coordinates of quadrilateral ABCD are as follows: A = (3,0), B = (7,1), C = (6,-4), and D=…

A: Given dataThe coordinates of quadrilateral ABCD are,

Q: Convert from rectangular to polar coordinates: (a) (1, 0) (b) (3,√3) (c) (−2, 2) (d) (−1,√3)

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Q: The cross product of A = 4i + 2j with B is zero. The dot product of A •B = 30. Find B.

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Q: 2 12 12,1°

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Q: A= 1-1-1 Anda diagonal D and an orthogonal mats P to which PT AP-D. The mas D should have to…

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Q: Let A = (1,0, 2), B-(-2,2, 4) be two points, i = AB und i= -i+3j+k. Find 27 – 30 = Find the dot…

A: First find the vector u than do as instructed in question.

Q: Compute the product of C(90°)B(180°)A(−90°) using the points A(6,2), B(1, 2) and C(6,-3). What are…

A: Given: The product of rotations, C90°B180°A-90° and the points A6,2, B1,2 and C6,-3.   To determine:…

Q: 1. Given vectors =, (a) Find the dot product of the given vectors. (b) Find 7, 71 (c) Find the…

A: As per our guidelines we are supposed to answer only 3 subparts of a question, please repost the…

Q: Evaluate coth (3+8i). Express your answer in rectangular form in 4 decimal places and with no spaces

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

A: Orthogonal vectors: Two vectors are orthogonal if there dot product is zero.

Q: Given v = 3i+7j & w = 4i-5j, find the dot product.

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Q: x.y = Find the dot product of x = 2 and y = 2 H

A: Consider the vectors

Q: Show with an Argand diagram that the law for adding complex numbers is the same as the parallelogram…

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Q: Hw.2 Show that the triangle ABE IS right atA -where A(-l B(2,1,1),ccl,=2,2).

A: Using geometry