The 2-dimensional vector v → has magnitude equal to A, and points at an angle θ = (Aπ)/6  radians. (As usual, θ  is measured as a counter-clockwise rotation from the positive horizontal direction.) Write the vector v → in component

Q: Find the unit vector in the direction of v = 2i – 5j. You can write your answer either in component…

A: the given vector is  find the norm of the vector  .

Q: Let a = (5, – 4, – 2) and b = (0, – 2, 3). Find the angle between the vector (in radians)

A:

Q: Let å = (0, 3, – 5) and 6 = (3, 1, – 3). Find the angle between the vector (in radians)

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Q: Vector y has an initial point of (7,-2) and a terminal point of (-1,-5). a. Find the component form…

A:

Q: Find the direction cosines of v =〈3, 6, −2〉.

A: Given vector is v=3,6,-2. To find the direction cosines of given vector. Solution: We know that if…

Q: Find the component form of v given its magnitude and the angle it makes with the positive x-axis.…

A: In the question we have to find the component form of v.

Q: Find the angle θ between u=2i-3j+6k and v = 2i + 5j - k.

A: cosθ=u.vuv

Q: Refer to the figure below to find the components of u.

A: When a vector u makes an angle θ with an axis; the magnitude of the component of the vector along…

Q: Calculate the angle between the vectors and . Write your final answer in radians, either as an…

A:

Q: Which graph (graph a, b or c in image) is the geometric representation of the vector function rt(sin…

A: Given vector function is: rtsint,t,cost Which is written as: rt=sinti^+tj^+costk^ This clearly…

Q: DeMarcus draws AABC. Then he translates it along the vector (-4, –3), rotates it 180°, and reflects…

A: The coordinates of A, B, & C are (3, 3), (3, 1), & (1, 1). This triangle translates along…

Linear Algebra

In mathematics, problems can be solved by the arithmetic operators like addition, subtraction, multiplication, and division. In algebra, we represent the numbers by any letter called a variable. If these variables are of degree 1, then it is studied under linear algebra. The first-degree equations involving algebraic expressions are called linear equations. That is, if you represent it by drawing a graph you will get a straight line.