The current of a river is given by the vector (7,5). The direction of the vector is

Q: airplane, flying in a direction 45° north of east and has an airspeed 500 mph. It is jected to a…

A: Please refer to the image below

Q: Order the following vectors by increasing magnitude. (3,4) (0,-6) (-2,4)

A: Given vector is (3,4) , (0,-6) and (-2, 4). We have to order the vectors by increasing the…

Q: Consider the following scenario. A pilot is steering a plane in the direction N 45° W at an…

A: We need to find the true course and ground speed.

Q: Find the value of x so that the vector i+2j+xk   makes and angle  pi/4  of  with the positive…

A: i+2j+xkTo Find: Value of x so that the vector makes an angle of π4 with the positive z axis.

Q: If vector A = [4/1] and vector B = [-3/2] find A-B

A: Here two vectors A and B are given we have to find A-B.

Q: Find the angle between the vectors, and

A:

Q: Determine the vector of magnitude 7 that has the opposite direction of ū = -4î + 13ĵ – 16k.

A: We can find the required vector as below

Q: What is the direction of the vector with an initial point of (3,-5) and a terminal point of (8, 6)?…

A: The initial point is (3, -5) and the terminal point is (8, 6)

Q: 1 - x 1 2 - y = z +1 and l2 : х — Consider the lines l1 : = y – 2 = 3 || 2.

A:

Q: what will be the direction of -k x -i ?

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: A pilot sets his airspeed to 500 km/h on a heading of North 65 degrees East . A strong wind is…

A:

Q: 4. Sketch the vector with magnitude 10 and direction 115° in standard position and calculate its…

A: We have to draw the vector with magnitude and find its components.

Q: Find a direction vector for the line containing the origin (0, 0, 0) and the point (2, 3, – 1).

A: The given points are 0,0,0  and  2,3,-1

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

A:

Q: Find the vector v that has a magnitude of 10 and a direction oppo- site that of the unit vector…

A: Let u be the required vector and given vector be v=35i-45k.

Q: sider the following scenario. ilot is steering a plane in the direction N 45° W at an air-speed…

A: True course and ground speed

Q: Find the unit vector that has the same direction as the vector v = 4i - 2j.

A: the given vector is v=4i-2j

Q: Find the vector v with the magnitude.15/2 and direction of u = For the toolbar, press ALT+F10 (PC)…

A:

Magnitude

A vector is an element with both direction and magnitude. A vector is represented using an arrow, where the arrow represents the direction of the vector and its length is represented using the magnitude. The set of vectors in space is known as vector space. The vectors can be added, subtracted, multiplied, and divided in a vector space. The image below shows a vector AB.