Write the vector v in terms of i and j whose magnitude ||v and direction angle 0 are given. IM = 8, 0 = 60° v=D (Simplify your answer. Type an exact answer, using radicals as needed. Use integers or fractions for any numbers in the expression. Type your answer in the form ai + bj. Rationalize all denominators)

Q: evaluate and simplify to cartesian form. 3∠63°+5∠72°

A: Given expression3∠63° + 5∠72°It is known that r∠θ = rcosθ+irsinθ

Q: Type of Tip 1 2 3 1 9.3 9.4 9.2 9.7 2 9.4 9.3 9.4 9.6 Specimen 3 9.6 9.8 9.5 10.0 4 10.0 9.9 9.7…

A: The hardness is measured for  different types of tips.Number of specimens is .Observations are…

Q: Simplify Using type products 1. (-2x-3y+4B)2

A: This is a problem of simplifying the given expression based on the general formula.

Q: 45° 30

A:

Q: 4. Solve for y: 9. Solve for p: 3() = 2 = -6 y-10 = 2x3 y-10 = 6 y = 6+10 y = 16 y = 7x – 3 5. In…

A: Simplification

Q: 8. 450 3.

A:

Q: Make Venn diagrams for A U C and Cu (A ¥ B). a. What can you conclude about whether one of these…

A: VENN DIAGRAM: The Venn diagram of A∪C will be as follows:

Q: 20 X

A: We know that,tan()=(perpendicular)/(base)

Q: State the expression for the dot product?

A: State the expression for the dot product?

Q: csc'xsec'x-csc'x = csc'xsec'x-csc'x = X (in radians) %3D (your expression) %D (to three decimals)…

A:

Q: iz? + 18i = 40

A:

Q: Perform the indicated operation and simplify. Assume that all variables represent positive real…

A:

Q: -2 + 2iV3 8) 3V3 + 3i A) - B Vo - VZ -V6 - V2, 5 4 В) 23 11 41 41 D) 25 25 12 12

A:

Q: 7 Solve for x & y. Use radical form (if needed). 22 45° y

A: The legs of the right triangle are equal.

Q: Use a right triangle to simplify the given expression as shown. Assume x 7 0.

A: Given that sinϕsec-1ϕx2+164. That is, secϕ=x2+164ϕ=sec-1x2+164

Q: Identify all the right angles in the figure.

A:

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.