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: two vectors u = [5,4, -3], v = [1, -2, -1] form an angle θ that can be less than 90 ° (acute),…

A:

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: 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: i) ii) Draw a vector diagram for the cyclist's trip. Find the distance covered by the cyclist. (Give…

A:

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

A:

Q: 6) An airplane is on a heading of 020° at an airspeed of 600 km/h. A 75 km/h wind is blowing from a…

A:

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: The angle between the two vectors 1= (-9, –4, 7) and v = (36, 16, -28) is Select one: True False

A:

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: 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:

Q: Relative to a fixed origin, the points A, B and C have the following position vectors 2 1 0-0) 3 and…

A:

Q: Q1/A/ Let u=5i –j+k, v=j-5k, w =-15i+3j-3k. Which vectors, if any, are a) Perpendicular? b)…

A: find the dot product of u and v if the dot product is zero then vectors must be perpendicular. the…