7) Relative to an origin O, the position vectors of the points A and B are given by OA P (-) and OB= +- (²+²) 4 -2 Find a) the value of the constant p for which the angle BOA = 90⁰ b) the unit vector in the direction of AB when p = 2 c) the position vector of the foot of the perpendicular from point A to the line which passes through O and B in the case where p = -1.

Q: The vector u has a length of 7 and the vector has a length of 1. When the tails of the two vectors…

A: Please refer to the solution in next step.

Q: Q3) If P(2,-2, 1) , Q(3,-1,2) and R( 3,-1,1) ノ の)ind the area of the triangle determined by the…

A:

Q: 4) Consider the vectors u = [3, -2] and v= [-5, 4], write a = [-24,18] as a linear combination of u…

A:

Q: 8) Given the vectors (5, 5) & (5, -5); both vectors start at the origin, find "e", the angle between…

A: Vector is a quantity that has direction as well as magnitude. In coordinate system, length of vector…

Q: 10. What is the cosine of the angle between the vectors U = (0, 1,0) and V = (2, 2, 1) ? a) 10, b)…

A:

Q: 8) An airplane is on a heading of 065° at 350 km/h and an 75 km/h wind is blowing from 310⁰.…

A: 0

Q: 2) (i) Find the direction cosines for v= he sum of their squares equals 1. (2,3,4). (ii) Verify that

A: Direction cosine and ratios

Q: What is the angle in radians between the vectors а %3 (6, 8, -2) аnd b = (-7, 7, 0)? Angle:…

A:

Q: A ship is on a heading of 240° at 50km/h. Write this velocity as a Cartesian vector.

A:

Q: Assume b = i +3+k What is the angle that vector 6 makes with z axis (with k unit vector)? Report the…

A: Given vector b→=i^+j^+k^ let a→=k^ We have to find the angle between b→=i^+j^+k^ and a→=k^

Q: Vector A has a magnitude of 2.5 m/s at a direction of 18 degrees and Vector B has a magnitude of 4.5…

A: A) It is given that vector A  has a magnitude of 2.5 ms at a direction of 18° and vector B has a…

Q: A vector is a ray that tells what direction True or false?

A: Given: A vector is a ray that tells direction. To determine: Whether the given statement is true or…

Q: What is the angle in radians between the vectors a = (6, 8, -2) and b = (-7, 7, 0)? Angle: (radians)

A:

Q: Q2/ Answer the following: A) Express the vector P.P2 in the form of v=vi+vaj+vsk if Pi (1,2,0) and…

A:

Q: 8. Given vector v = (4,-5) a) If we want to represent v in the form v= AB where A = (-2, -3), what…

A:

Q: Q2/ what the sine of the angle between the vector d= 3î + ĵ + 2k , b= 2î – 2j + 4k -

A: Here given vector as a=3i+j+2k, b=2i-2j+4k Thus a=32+1+22=9+1+4=14 a=22+-22+42=4+4+16=24=26

Q: You may refer to vectors v and w in the figure attached in order to fulfill parts a and b of the…

A: Please find the solution. (A) sketch V - W by placing the initial point of -W at the terminal point…

Q: nd he position vector in the form of xr+ yr for the vector that starts at the point (-1, 2), ends at…

A: Given query is to find the vector ,it's magnitude and direction.

Q: =-w. Let w and v be two vectors in R" with the property that Projw = - ¼v and Projwv = What is the…

A: