A pilot heads his jet due east. The jet has a speed of 475 mi/h relative to the air. The wind is blowing due north with a speed of 35 mi/h. (Assume that the i vector points east, and the j vector points north.) (a) Express the velocity of the wind as a vector in component form. 35j (b) Express the velocity of the jet relative to the air as a vector in component form. 475i (c) Find the true velocity of the jet as a vector. 475i + 35j (d) Find the true speed of the jet. (Round your answer to the nearest integer.) 476 V mi/h Find the direction of the jet. (Round your answer to one decimal place.) N 4.2 x °E

Q: Find a unit vector in the same direction as 8i-j+ 4K

A:

Q: Find the unit vector in the direction of <4,2>

A:

Q: A forklift is used to offload freight from a delivery truck. Together, the forklift and its contents…

A: Given data- Weight of the forklift and its contents F = 800lb We have given that the weight is…

Q: Rotate the vector v = by 0 = 2

A:

Q: An airplane is on a heading of 235° at 600 km/h and a l10 km/h wind is blowing from due west.…

A:

Q: 10 Find the vector equation of a line whose symmetric equations are z-1 y+3 %3D 3. -4 Express your…

A: To find the vector equation of a linewhose symmetric equations are   x-12=y+33=z-1-4.

Q: Sketch the vector v = -6i - 2j as a position vector and find its magnitude.

A:

Q: Sketch the vector v = -4i as a position vector and find its magnitude.

A: Plot the vector –4i as shown below.

Q: Express the vector in terms of it's length and direction. i + 2j - k

A: Solution:Given   i+2j+kTo express in terms of its length and direction.u=vvand v=vu

Q: Find the vector equation of the line that passes through (1,0,-3) and it's parallel to v=2i - 4j +…

A:

Q: Find a vector v whose magnitude is 4 and whose componentin the i direction is twice the component in…

A: Given: magnitude of the vector  is 4  The component of the vector  in the i direction is twice the…

Q: On the diagram to the right, what are the components of the resultant of the three vectors shown? *…

A: We have three vectors, two of them are in horizontal direction, 6 N is -x direction and  14 N in +x…

Q: If a = 3i +j - 2k and b = 5i –j- 2k, then find %3D а. а xb b. vector resolute of vector a in…

A: We will find out the required values.

Q: Sketch the vector v = -3i - 4j as a position vector and find its magnitude.

A: Given: v = -3i - 4j

Q: How do you find the vector from one point to another?

A: The vector from one point to other is the difference between similar coordinates of two points.

Q: Find an equation of the plane through the point and perpendicular to the given vector. (8, 2, 3)…

A: We will find an equation of the plane through the point (8,2,3) and perpendicular to the given…

Q: A bullet is fired into the air with an initial velocity of 950 feet per second at an angle of 67o67o…

A: Given: A bullet is fired into the air with an initial velocity of 950 feet per second at an angle of…

Q: Find the equation of the plane through the point with position vector 5i-2j+3k perpendicular to the…

A:

Q: Explain how to write a vector in terms of its magnitude and direction.

A: A vector is a geometric representation of magnitude and direction with respect to the set of…

Q: Determine the angle that the vector [-1, -1] makes with the positive horizontal X-axis

A:

Q: How can we find the cartesian equation from a vector equation?

A: Equation of line in vector form is:r→=a→+λb→Where,a→=x1i→+y1j→+z1k→ b→=b1i→+b2j→+b3k→

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

A: Topic = vector

Q: Find a vector in component form that is perpendicular to the line 3x 4y = 6.

A: To find the vector in component form that is perpendicular to the given line.

Q: 6. The x-component of a vector is 4 and the y-component is -6. What is the magnitude and direction…

A: topic = vectors

Q: A motorboat sets out at 10 am from a position (-6i – 2j) km relative to a marker buoy, and travels…

A: please see the next step for solution

Q: a = 3i - 2j + 5k and b = -2i-j+k, find 2a-3b and also its unit vector.

A:

Q: In Problem ,find the unit vector in the same direction as v. v = 5i

A:

Q: Write a vector equation and a scalar equation for a plane.

A:

Q: Find a vector equation for the line through the point (2, 5, 8) perpendicular to the plane 2x + 5y +…

A:

Q: The ________ ________ of two vectors yields a scalar, rather than a vector.

A: Given as  The ________ ________ of two vectors yields a scalar, rather than a vector.

Q: Find the components of the vector shown above. Vector =

A: From the Figure note that, the tail of the vector has coordinates -3,-4 and head has coordinates…

Q: C a

A:

Q: Find the vector parametric equations for the line. in the direction of the vector 4 i – 3j- 3k and…

A: Equation of the line passing through a given point a,b,c and in a given direction l i+m j+n k is…

Q: find the component form of the vector. The vector 2 units long in the direction 4i - j

A: Given vector is u = 4i – j. So, the unit vector in the direction of the given vector is

Q: Find the component form of the indicated vector.

A: The given question belonging to the vector in which we have to find the value of subtraction of the…

Q: Express the vector -8i-4j-8k as a product of its length and direction.

A: Given vector v→=-8i-4j-8k

Q: What is the equation of the vector in a Cartesian coordinate system that originates from the origin…

A:

Q: find the component form of the vector. The vector obtained by rotating [0, 1] through an angle of…

A: We have the vector is (0, 1)   We have to find the vector obtained by rotating (0, 1) through an…

Q: Find a unit vector in the direction of the vector v = .

A: Given a vector v=<-2,2>. We need to find a unit vector in the direction of 'v'. Let's begin.

Q: Find the component form of the resultant vector.

A: To Find the component form of the resultant vector.

Q: Explain why the vector 2u × 3v points in the same direction as the vector u × v.

A: Consider the vectors: u=x1i^+x2j^+x3k^v=y1i^+y2j^+y3k^

Q: A pilot heads his jet due east. The jet has a speed of 400 mi/h relative to the air. The wind is…

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: A small plane is flying horizontally due east in calm air at 175 mi/hr when it is hit by a…

A: Plane is flying horizontally du east calm air at 175 mi/ hr. Hence, Vplane=175i Now, horizontal…

Q: I used a vector to represent a wind velocity of 13 miles per hour from the west.Determine whether…

A: Reason: (i)  When a velocity of a wind travels from the west and from the east of…

Q: find the component form of the vector. The vector from the point A = (2, 3) to the origin.

A: Find the component form of the vector. The vector from the point A = (2, 3) to the origin.

Q: Find the vector equation of a line L going through the point P = (-5, -6) and parallel to the line…

A: The vector equation of line is

Q: Express the vector v = 4i + 2j - k in terms of magnitude and %3D direction.

A: