A swimmer heads in the direction N 30 E, swimming at 5 mi/h relative to the water in the Chesapeake Bay. The current in the bay flows due east at 3 mi/h. Find the true velocity of the swimmer as a vector.

Q: If å = v2i +j - k, what is the vector whose alignment a is in the opposite direction and its size…

A: Given a→=2i+j−k We have to find the vector whose alignment a→ is in the opposite direction and its…

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: A pedestrian walks at a rate of 6 km per hour east. The wind pushes him northwest at a rate of 13 km…

A:

Q: Find a unit vector in the same direction as v= (28,-21).

A: A unit vector in the direction of (a, b)

Q: What is the magnitude of a vector = (-181- 12j)m/s?

A: Given,            v = (-18i + 12j) m/s

Q: Find the magnitude of the vector

A: The given vector is 0,7We know that in a vector a,b the magnitude is a2+b2

Q: s opposite direction to the vector u = .

A:

Q: If a vector gets multiplied by a positive number, its direction will be *.reversed FO TO

A:

Q: The jet stream is blowing at 60 miles per hour in the direction N45°E. Express its velocity as a…

A: The jet stream is blowing at 60 miles per hour in the direction N45°E We need to express its…

Q: Find the angle a between the vectors -5 and

A:

Q: A migrating salmon heads in the direction N 45 E, swimming at 5 mi/h relative to the water. The…

A: Let the speed of salmon is representated by v. v = 5 mi/h And The current of the ocean is u. u = 3…

Q: What’s the difference between a ray and a vector?

A: The vector has finite magnitude and direction, while the ray has direction  and starting point and…

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

A:

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: Which two vectors are perpendicular to both a and b?

A:

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

A:

Q: The vector which has length 2 and direction opposite to u?

A: We have the given vector as u=-122   We have to find a vector that has length 2 and direction…

Q: Find the magnitude of the vector.

A: The given question is taken from the vector in which we have to find the magnitude of the given…

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

A:

Q: A pilot is heading his plane N 76°W at an airspeed of 950km/h, while wind is blowing in the…

A: Given: A pilot is heading his plane N 76 degree W at an airspeed of 950 km/hr, while wind is blowing…

Q: In the given diagram, which is the equivalent of vector

A: sum of vectors of closed triangle is 0 if we choose one direction -- Here if choose anticlockwise…

Q: A person swims 6.4 meters per second north while being pushed by a current moving west at 2.1 meters…

A:

Q: Find the vector v with the given magnitude and the same direction as u. Magnitude Direction

A:

Q: A boat sails 285 miles south and then 132 miles west. What is the magnitude of the boat's resultant…

A: Given :

Q: Calculate the magnitude and direction of the resultant of the two acceleration vectors shown

A:

Q: Determine a unit vector in the direction in whichf(x,y) = 4x³ y² increases most rapidly at point…

A: Given that : - f(x,y)=4x3y2    at  P(-1,1) A function f(x,y) increases most rapidly at pointy P(a,b)…

Q: Find the unit vector that has the same direction as the vector v = -5j.

A: Given vector is v=-5j. Obtain the magnitude. v=-5j=-52=5

Q: A river flows due south at 3 mi/h. A swimmer attempting to cross the river heads due east swimming…

A: It is given that, a river flows due south at 3 mi/h. A swimmer attempting to cross the river heads…

Q: Find a vector v whose magnitude is 3 and whose componentin the i direction is equal to the component…

A: Given- a vector v whose magnitude is 3 and whose component in the i direction is equal to the…

Q: Find the unit vector in the direction of

A: Unit vector in the direction <-2, -5> Unit vector have magnitude 1

Q: what is the direction of the acceleration vector of a person on the spinning earth if the person is…

A:

Q: If the wind is blowing at 12 mi/hr in the direction N40°W, express its velocity as a vector v.

A: Given the wind is blowing at v=12 mi/hr in the direction of N40°W as shown below:

Q: Find the horizontal and vertical components for a vector having a magnitude of 15 and a direction of…

A: Ans = (13.0,7.5) I have done solution in detail....go through the sulution

Q: A bird is flying south at a rate of 45 miles per hour while being pushed east by wind with a speed…

A: Given- Bird's flying rate in the south=45miles/hrBird pushed by wind in the east=12 miles/hrWe need…

Q: A ship is sailing at a speed of 14 mi/hr in the direction S50°E. Express its velocity v as a vector.

A: A ship is sailing at a speed of 14 mi/hr in the direction S50°E. Express its velocity v as a vector.…

Q: If v = 3i - 4j is a velocity vector, express v as a product of its magnitude (its speed) times its…

A: To Determine: If v=3i-4j is a velocity vector, express v as a product of its magnitude (its speed)…

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

A:

Q: Which two vectors are perpendicular to both å and b?

A: result of vector cross product of two vector is perpendicular to both the vectors.

Q: A pedestrian walks at a rate of 6 km per hour east. The wind pushes him northwest at a rate of 13 km…

A: We can find the answer as below

Q: Find a unit vector in the same direction as (2i - 6j - k). Oi-j-k O

A:

Q: A sailboat is sailing at a speed of 6 knots at a true bearing of 220°. Give the velocity of the…

A: First represent the vector on coordinate plan than break the components along x & y-axis.

Q: 2. Give the components for the velocity vector of a boat that is moving 50 km/hr toward the…

A:

Q: A plane is flying with an airspeed of 200 mph in the direction of N 50°E and a 40 mi/hr wind is…

A: Let u be the vector representing the speed of the plane and v be the vector representing the speed…

Q: Find the vector v that has magnitude 3 and makes the angle θ=1/4π with the positive x-axis.

A: Given: |v|=3 θ=1/4π

Q: Find  the vector in the same direction as  i + j  whose component in the   direction of  2i-2k  is…

A:

Q: Which is traveling faster, a car whose velocity vector is 27i⃗ +32j⃗ , or a car whose velocity…

A:

Q: Find the angle a between the vectors L3] and]

A: Find the angle between vector s

Q: Perpendicular vectors are also said to be __________.

A: Perpendicular vectors are also said to be __________.