Question 17 Let A and B be points with position vectors u and v such that [u] = 6, |v| = 8 and u v= 24. (a) Show that cos 13 2 (b) Find |AB|

Q: Given vectors u and v in the diagram below, shade in all linear combinations cu + dv for (a) -1 1…

A: (a) Shade the linear combination.

Q: Find the angle between the following pair of vectors. a = (-8, -7,2) and b =(4,-5,-4) a.b cos(8) =…

A: The given problem is to find the dot product of the given vectors and angle between the given…

Q: 1. Set up the iterated double integral of f(x, y) over the region R using the order dxdy and dydx.…

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Q: What vector v is given by the coordinate vector B = { 9x +4, 4x + 6 }. [3] ? B

A:

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

A: cosθ=u.vuv

Q: Find cos 0, where 0 is the angle between two vectors a = 2i – 3j + 2k, b = -2i + 2j+6k

A:

Q: Find the angle a in radians between the vectors απ -3] and

A: Step 1: Given vectors: u=[−3−1​] and v=[1−2​] Step 2: To find the angle 𝛼 between two vectors a and…

Q: Calculate the cosine of the angle which the vector 2i+2j-k makes with the positive x-axis

A: Given: find the cosine of the angle which the vector 2i+2j-k makes with positive x axis

Q: Which of the following represents vector t = –15i + 8j in trigonometric form?  a t = 17 ❬cos…

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Q: The flux of F(x, y, z) = 2³î – r³}+ y®k, where o is the sphere | x2 + y? + z2 = a² with outward…

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Q: Which of the following pairs of vectors are perpendicular? /2 > and and and < - C. None of These…

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Q: ongin 0, the position vectors of the points A and B are 2i-3j and 11i+ 42J respectively. (i) Write…

A: Given that the position vector of the point A and B are  2i-3j and 11i+42j   respectively

Q: Let u = (-1,2, 3) and v = (-1,1, –11) be two vectors in R³. (a) Calculate the dot product u v. What…

A: Answer

Q: (i) Find the direction cosines for v = 2, 3, 4 .  (ii) Verify that the sum of their squares equals…

A: We know that If the vector is xi+yj+zk=(x,y,z) and  r=length of x,y,z =√(x2+y2+z2) Then the…