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

Q: 7z^2 = 252 z = and z = (both answers of z are required)

A:

Q: What is the product of t3 22-9 242z-15 22-2z+1 in simplest form? State any restrictions on the…

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Q: ad 2a — Зd Show that bе 2b — Зе | — 0. с f 2с — 3f

A: We have to show that ad2a−3dbe2b−3ecf2c−3f=0 by using elementary column operation Let…

Q: X^2-y^2÷2x-2y

A:

Q: O Find b if la| = 7, |b| = 8, and the angle between a and b is – radians.

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Q: (w+6)^2=30 w=

A: Solve the given equation for ‘w’. This equation can be simplified to form a quadratic equation.

Q: 3-V5) (3- V5

A: Explanation and solutions is given below....

Q: е 0.32+ j0.56

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Q: 15 (-4i + 2) =

A: We have to solve : 15.(- 4i +2) = ?

Q: simplify 6d + 3/3d / 2d + 1/4

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Q: Multiply: (6r°y")(-3x°y) b. (10x*y°z^)(3x*y°z²). а.

A: Solution: (a) Consider the given products are: 6x5y7-3x2y4 Further simplifying we have 6x5y7-3x2y4 =…

Q: Calculate a · b, where a = (−pq, 3q^2 , −p) and b = (2pq, −p^2 , −3pq^2 ), where p and q are…

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Q: Write the following complex expression in Cartesian from. Simplify as much as possible.(/bar…

A: The objective of this question is to simplify the given complex expression and write it in Cartesian…

Q: Find the dot product: (-1, 0,1) . (1, 9, 2). Fully reduce your answer. (It should be a whole number)

A: To find The dot product of (-1,0,1).(1,9,2)

Q: solve this by cartesian product

A:

Q: Calculate (3+j6)19 in rectangular format. Please show all your steps.

A: By using De moivres theorem the answer is given as follows :

Q: Sex(1+ e2x)³dx

A: Integrate by using substitution

Q: Express (-7 - 3i)-1 in standard form.

A: Given :-7-3i-1To express the term in standard form .

Q: Express 2e3+in6 in rectangular form.

A:

Q: Calculate the dot product of ?=(−4,−2,7,−3)and ?=(−3,1,5,8)

A: Given vector is u→=−4,−2,7,−3 and v→=−3,1,5,8. We have to calculate the u→⋅v→.…

Q: X1 ^ x2 – 2x2 ^ x3 + x1 ^ x4 -

A: Given: Quadratic form is in 4 variables    x1 x2 - 2 x2 x3 + x1 x4

Q: Find the angle between A = 10a + 2a and B = - 4a + 0. 5a¸ , using dot product. Answer:

A: As we know that, The expression for the angle between the two vectors is: θ=cos-1A→·B→A→B→ Given:…

Q: Simplify: 8x* + 4x° + 5x² + 2 + 9x³

A:

Q: Write 2e2ip/3 as a complex number in standard form.

A: we have to write the equation  2e2π/3 in polar form.  By Euler form we get eiθ=cosθ+isinθ

Q: Convert 5x-3y=-9 into standard form (y=mx+b)

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Q: Convert the polar point (6, 240°) to exact rectangular form

A: Using  relationship between polar coordinates and rectangular coordinates,