(a) Find the vector of length 2 that makes an angle of π/4 with the positive x-axis. (b) Find the angle that the vector v = − √ 3i + j makes with the positive x-axis.

Q: (B): Find the unit vector perpendicular to the vectors: 3i - 4j + 5k 4i + 5j-6k dw (C): If w = tan x…

A:

Q: The horizontal component of vector a is equal to the vertical component of vector 6. If 30° is the…

A: Components of a vector v→ :  Horizontal component is v→ cos θ Vertical component is v→ sin θ where θ…

Q: Find the horizontal and vertical components of the vector with the given length and direction, and…

A:

Q: A new high-speed helicopter is travelling at an air speed (that is, a speed relative to the…

A:

Q: Find the direction angle of the vector v=-8i– 5j. That is, find the angle between 0° and 360° that v…

A: We know that the direction angle of the vector  xi+yj that makes with the positive x-axis measured…

Q: a) Let a = 2i – 3j + xk and b = -3i + j + xk. Find the values of x for which vectors a and b are at…

A:

Q: a/Find the length and diredtion of the vector 式ド、で Aュ2i+3k where や ノ

A: The given question is from vector and can be solved as shown in step2

Q: Find the direction angle of the vector v = -8i-4j. That is, find the angle between 0° and 360° that…

A: Topic = vector  Angle is 207 degrees

Q: 2. The two unit vectors parallel to the line 3x + 4y = 1 are and 3. The two unit vectors…

A: 2) The line is 3x+4y=1. Rewrite the equation of the line in the slope intercept form as,…

Q: Consider the vector v = (x, 2) in R2. If you rotate the vector by 90-degrees counter-clockwise, then…

A:

Q: b) Consider the vectors a = 3i - 2j+7 K, and b = -5i +4j-3k, find 1-a.b 2- Angle between a and b. 3-…

A:

Q: Find the angle between the two vectors A = i +j+k and B = 2i+j-k

A:

Q: 18 Find the Unit Vector that has the Same direction as vector V = 8i-6j

A: Given :  V = 8i - 6j

Q: Find the cosine of the angle between the vectors P1 (x) = 1 + 2x – x² and p2 (x) = 2 – 3x – 2x² with…

A: We have to solve given problem:

Q: Find the angle between the vectors u = /2i - 9j and v =v2i+j-2k.

A:

Q: The angle u= between the two vectors \(\) and U= is equal to 0=T

A: We know that angle between two vectors is given by θ=cos-1u→·v→uv Here, u→=-4,2,1 and v→=-20, 10, 5.

Q: For what value of t , if any, is the vector (4t, -1) parallel to the vector (4, -1) ?

A: Given :4t,-1 and 4,-1

Q: Express the vector v =12i -5j as the sum of a vector parallel to b = 3i +4j and a vector orthogonal…

A: here we have to write the vector v in the form: v→=β1+β2Where β1 is parallel to b→ and β2 is…

Q: 2. Start with the vector -(2, 1) a) Rotate the vector 55° counterclockwise and sketch the resulting…

A: Topic = vector

Q: c. For that sum vector c find the magnitude and angle with positive direction of x-axis of the…

A:

Q: 1. Find a unit vector pointing in the same direction as v = 2i – k.

A:

Q: Find the cosine of the angle between the vectors with respect to the standard inner product on P2.…

A:

Q: 2. Express the vector v = 3i – 4j as the sum of a vector parallel to b = 2i +3j and a vector…

A: Given, v→=3i^-4j^ The parallel vector c→ to the vector b→=2i^+3j^ can be written as c→=λb→=2λi^+3λj^…

Q: Find the direction angle of the vector v =-3i-8j. That is, find the angle between 0° and 360° that v…

A:

Q: For what value of t if any, is the vector 5t, 1] parallel to the vector (4, -1) ?

A:

Q: Find the magnitude of the vector a and the smallest positive angle 0 from the positive x-axis to the…

A:

Q: Q3) If A -3i + 4J – 5k and B= 5i-6J +7k find the unit vector which is perpendicular to these two…

A:

Q: (B): Find the unit vector perpendicular to the vectors: 31-4/+5k ; 11+5/-6k dw (C): If w = tan x and…

A:

Q: 17) Find a vector v whose magnitude is 26 and whose component in the i direction is twice the…

A:

Q: Express the vector - 4i - 8j + k as a product of its length and direction. - 4i - 8j + k=[Di+ ()j+…

A: To express the vector -4i-8j+k as a product of its length and direction.

Q: Find (a) the dot product of the two vectors and (b) the angle between the two vectors.

A: The vectors 4i^-j^, -3i^+2j^

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: For what value of t, if any, is the vector (4t, -1) parallel to the vector (4, -1)

A: G

Q: Find a unit vector orthogonal to the vector A= 2i-j+k and parallel to the vectors B= 2i+2j and C=…

A:

Q: 4. Find the resultant using (a) the head-to-tail method, and (b) by summing up components. For the…

A:

Q: 2. For the vectors (1, 1) and =(-1,1) Find the dot product u · v, and the angle 0 between the two…

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: 27-j+4k sī +2j-2k.

A:

Q: Find the direction angle of the vector v = -7i-8j. That is, find the angle between 0° and 360° that…

A:

Q: Find the direction angle of the vector u = -6i+4j. That is, find the angle between 0° and 360° that…

A:

Q: 2. Find an unit vector perpendicular on both a =i +2]- and 6 2i -k.

A: According to our guidelines, In case of multiple questions we are supposed to answer the first…

Q: Using a convenient scale, find the resultant of the following vectors graphically: 10m at 40o with…

A: According to Polygon Law of forces, if a number of coplanar forces acing at a point is represented…

Q: Find the angle between the vectors i + j + 2k and 2i - j +k

A:

Q: Find the angle a between the vectors 日- 2 and a =

A:

Q: You are given vectors Ã= 5.0f – 6.5j and. are B=-3.5i + 7.0j. A third vector Clies in the xy-plane.…

A: When one vector is perpendicular to another, then their product is zero.

Q: Find a vector 2 units long in the direction of v = 4i - j + 4k.

A: First find a unit vector in the direction of v = 4i - j + 4k.

Q: (b) Find the direction e of the vector u = .(angle between the positive x-axis and the vector)

A: Topic = vector

Q: Find the angle a between the vectors 3 a || -1 -2 - and 1

A:

Q: 2 A plane is flying on a course of 060° in still air at a speed of 300 km hr-', when it passes a…

A: Given that: Speed of plane = 300 km hr-1 Direction = Course of 60o