12. Find the vector with length 5 and direction angles a = B = 120°, y = 135°. = 60°,

Q: a= b=

A:

Q: 4. A|-2,5 А = 2, B = 3 and the angle formed by A and B is 120°. Determine the unit vector in the…

A: Solving

Q: Determine the resultant of two vectors with magnitudes of 50 and 30 and an angle of 110 degrees…

A: let  A=50 & B=30, θ=1100 We know resultant between two vectors A→ & B→ when angle between…

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: 3. A pilot flies with a ground velocity of 280 km/h on a bearing of 292°. There is a 55 km/h wind…

A:

Q: Let u = (6, 2, 4) and v = (1, 2,0). Find: (a) d(u, v). (b) the angle 0, in radians, between the two…

A: See the detailed solution below.

Q: For the pair of vectors u and v, find the following: u = (-4,4,7), v = (2, -6,3) a. The angle (in…

A:

Q: Find the vertical component of a vector, where the inclination  Θ of the vector from the horizontal…

A:

Q: Find the angle θ between v = (3, 6, 2) and w = (4, 2, 4).

A: Given, v = (3, 6, 2) w = (4, 2, 4)

Q: Given 2 lines expressed in terms of vectors, how to determine the normal vector on the intersection…

A:

Q: What is the angle of vectors A=5m West and B=15m 60° North of West?

A: The vector A can be written as: a=-5i The vector B is 60 degree north of west that means it makes an…

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: Find the direction angle of the vector u=

A:

Q: Find the vector v with v= 6 and direction 0 =150°.

A:

Q: Find the direction angle for vector u = 4i + j+ 3k y = 48.33', a = 78.69°, ß = 43.96° B= 38.33', a =…

A:

Q: Consider the vector v = ⟨v1, v2, v3⟩. What is the meaning of arccos v2 / II v II = 30°?

A: Consider the vector v=v1,v2,v3 Use the dot product rule: v·j=v×jcosθ=vcosθ where θ is the angle…

Q: Find the direction angle 0 of the vector v = .

A:

Q: 6. Let A= (1, 2, 0), B = (3, 4, -1), and C= (4, 5, 2). Find the exact value of the distance between…

A: Given- A=(1,2,0) , B=(3,4,-1), C=(4,5,2) To find the exact value of distance between point C and the…

Q: A car moves 34 m east and 65 m north. Determine the angle of the car's resultant displacement vector…

A:

Q: What is the angle of vectors A=5m South and B=15m 60° South of West?

A: `Vector is a quantity that has magnitude as well as direction. So we need to find the angle of…

Q: Let v = -7i+ 3j and w=-i-4j. Find 4v - 4w.

A:

Q: = - A. Find the unit vector that makes an angle (0 with the positive x-axis.

A: The unit vector makes an angle θ=-3π4 with positive x-axis

Q: What is the position vector (expressed in RCS), determined by point B(2,30 deg, 3)?

A: Definition: The point A(a,b,c) has a position vector OA where a is the x-component, b is the…