A straight river flows east at a speed of 11 mi/h. A boater starts at the south shore of the river and heads in a direction 60° from the shore (see the figure). The motorboat has a speed of 24 mi/h relative to the water. (Assume that the i vector points east, and the j vector points north.) N 60°

Q: Find the unit vector in the direction of v. v = -6.3i + 3.7j = n

A: Topic = Vector

Q: Find the angle a between the vectors α= | and

A:

Q: Find a unit vector (a) in the direction of v and (b) in the direction opposite of v. v = 4i − 5j +…

A: Now magnitude of v is,

Q: The vectors a(3;-4) and b(x; 9) are perpendicular to each other. Calculate the magnitude of the…

A: Given vectors are: a→=3,4 and b→=x,9

Q: Find a unit vector in the direction of v. v = 12i - 35j

A:

Q: Find a vector of magnitude 7 in the direction of v = 12i - 5k

A: Given vector is v = 12i – 5k. First find the direction of the given vector

Q: 10. A Plane is flying at 45 degrees north of the x axis at 400 mph. Sketch the situation and find…

A: Drawing the given data , Plane is at "A" From the diagram the x-component is OB…

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

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

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: u = 700i + 500j

A:

Q: A migrating salmon heads in the direction N 45° E, swimming at 2 mi/h relative to the water. The…

A: Given data- We have given that a migrating salmon heads in the direction 45˚ E. Velocity of fish = 2…

Q: For the vector u = 4i- 3j, find a unit vector a. in the same direction as u b. in the opposite…

A:

Q: Find the unit vector in the same direction as v = 8i - 15j.

A: The vector given to us is  v = 8i - 15j

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: A migrating salmon heads in the direction N 45° E, swimming at 2 mi/h relative to the water. The…

A: The velocity of the ocean current is, u = 3iVelocity of the salmon is, v = 2 cos 45 i +2 sin 45 j

Q: Find a unit vector in the same direction as a= 0 i +3 j. i+ j.

A: Given:a=0i+3j

Q: Find a unit vector in the same direction as the given vector. C = 15i – j

A: I have Provided this answer in step-2.

Q: ind a unit vector that has the same direction as the vector –3ỉ + 7j.

A:

Q: C) Find a vector of magnitude 7 in the direction of v = 12i- 5k.

A:

Q: Determine the resultant of the vectors with the given magnitudes A 557, 153.0° B. 1236, 233.0° The…

A:

Q: A unit vector in the direction of the given vector is

A:

Q: Find the unit vector in the same direction as v = 4i - 3j. Then verify that the vector has magnitude…

A: Consider the following vector: v→=4i^-3j^ Consider the following formula: unit…

Q: Find a vector of magnitude 10 in the direction of v = 3i − 4k

A:

Q: 3. Find a unit vector in the direction of v. V = 20i – 21j

A:

Q: Find the unit vector in the direction of v. v = -6.7i + 3.7j

A: Given v=-6.7i+3.7j u^=vvv=v,v=x2+y2

Q: Find a vector of magnitude 3 in the direction opposite to the direction of v = i+j - k.

A: here we use the formula , v→=-v→v→

Q: Rotate the vector (0,2) 270° counter-clockwise about the origin. {[ ? ],[ KU?1| )

A: Given vector is : 0,2 , rotate the vector 0,2 270∘in counter clockwise about origin.

Q: Find the direction angle of the vector u=

A:

Q: Find a unit vector that has the same direction as the given vector. -5i + 7j

A:

Q: Resolve the vectors shown in the figure below into components. (Here, the vectors i=i and j-j)

A: We have to solve given to problem:

Q: Find the unit vector in the direction of V. V = -6.7i + 3.9j

A: We find the unit vector in the direction of v , v=-6,7 i∧+3.9j∧.

Q: Find a vector of magnitude 3 in the direction opposite to the direction of v = ± i + ±j - k.

A: Let u be the vector to be found. To find u, first we need to find the direction of the vector v. To…

Q: Show correct answer from the multiple choice options.

A:

Q: Find a unit vector in the same direction as a= 6 i -4 j. i + j.

A: Given, a=6i-4j

Q: use the vectors v=-2i+j and w=4i+3j to find: Find a unit vector in the same direction as v.

A: A vector is a quantity that has both direction and magnitude and a unit vector is a vector that has…

Q: Find a unit vector in the same direction as the given vector. a = 40i + 9j

A: Given,           The vector is a=40i+9j .

Q: The x and y components of a displacement vector are -3.00 m and +4.00 m, respectively. What angle…

A: The x-component is -3.00 mThe y-component is 4.00 mTo find, the angle made with positive x-axis.

Q: Calculate the magnitude of the vector AB shown in the diagram. A B-

A: As per guidelines we can solve the first question only. For any other answer repost the question.

Q: The vector i +bj-k is perpendicular to the vector I +2j-3k. what is the value of b?.

A: We know that if two vectors are perpendicular to each other then there dot product is zero. Given,…

Q: A migrating salmon heads in the direction N 45° E, swimming at 2 mi/h relative to the water. The…

A: From the given information, the current situation can be representing as follows.

Q: Find the magnitude of the vector u =

A:

Q: Find the magnitude and direction angle of the vector. u = -5i + 3j

A:

Q: Find a vector of magnitude 3 in the direction opposite to the direction of v = (1/2)i - (1/2)j -…

A: Given,

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: Sketch the vector v = 3i - 3j and find its magnitude.

A: v=3i-3j The graph is,

Q: Find a unit vector in the same direction as the vector : a = 8i − 6j

A:

Q: Drag the blue point to a location on the coordinate plane so that the vector v (shown below in blue…

A: Given: Magnitude is 17 and the direction is 28.07° The main objective is to find the vector r→…

Q: Sketch the vector v = 2i + 3j as a position vector and find its magnitude.

A: Given vector is v = 2i +3j. Draw the vector as shown below.

Q: Find a unit vector in the direction of v = –i – 2j.

A: THE SOLUTION IS GIVEN BELOW