Find the angles that vector D 2.5 - 8.5 + k) m makes with the x-, y-, and z- axes.

Q: Find projɖu if u 2 and d = 5 3 4

A: Step 1: Solve for the projection The formula of the projection of vector u unto d…

Q: Let A = (4, –4,4, 0) and B = (-4,3, –4, 1) be points in R*

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: r(t) = (x(t), y(t), z(t)) where x(t) = – 4t2 – 5t – 3 y(t) = 5t² + 5t +3 z(t) = – 5t? - | '(t) =…

A: Here, we need to find the binormal vector B. We are given that r(t)=<x(t), y(t), z(t)> where…

Q: List five vectors in Span {V₁, V₂}. Do not make a sketch. V₁ 9 4, V₂ = -7 4 3 0

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Q: Define the points P = (-4, 6) and Q = (2, 4). Find the position vector corresponding to På. %3D %3D…

A: We will find the position vector of PQ as following

Q: 2. Find the unit vector in the direction of

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Q: B) Use vectors to check whether the points A (1,-1,0), B (2,1,-1), and C (-1,1,2), are vertices of a…

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Q: Let ā = (1, – 5, 2) and b = ( – 1, 5, 3). %3D Find the angle between the vectors (in degrees).

A: We know that for two vectors a→ and b→,   cos(θ)=a⇀.b⇀|a||b|⇀⇀ where θ is the angle between vectors.…

Q: Draw position vector OP = (-2,-4,3) on the axis below.

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Q: 36. Given vectors A, B, C and D (Fig.(b) below). Construct (a) 3A-2B-(C-D) (b) C+(A-B+2D). 30° 100…

A: The vectors A→, B→, C→ and D→ are given.

Q: draw a set of x-,y-, z- and axes and plot the following position vectors (including rectangular…

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Q: 3) |x| = 7, y = 8, and|x - y = 10, determine | x + y. Hint: sketch out these 4 vectors on the same…

A: We know that the vector parallelogram rules  ||A+B||^2+||A-B||^2=2||A||^2+2||B||^2