find the component form of the vector. The vector obtained by rotating <0, 1> through an angle of 2pai/3 radians

Q: Find a vector that has the opposite direction of a = 8i - 6j and twice the magnitude.

A: a=8i-6j

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: Convert the vector Ả = = pzsino a,+ 3pcos¢ a p + pcosø sinø az to RCS. Simplify your answer and show…

A: A vector in cylindrical coordinates can be written as A→=Aρaρ⏞+Aφaϕ⏞+Azaz⏞ A vector in cartesian…

Q: Find the angle 0 between the vectors. u- (3, 2, 0), v = (-2, 3, 4) radians

A: u=3, 2, 0  &amp;  v=-2, 3, 4 Now, u·v=3-2+23+04=0 Now the magnitudes is,…

Q: find the component form of the vector. The unit vector that makes an angle of pi/6 radian with the…

A:

Q: Record the magnitude and angle of the vector sum.

A: Concept - first find the sum of x direction components and you direction components.

Q: Draw the vector V that goes from the origin to the given point. Then write V in terms ofthe unit…

A: We have to draw a vector that starts from the origin (0,0) and goes to the point (-1,-5).

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

A:

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

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

Q: Find the vector having length v=12 and direction theta 60 degrees

A:

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

A:

Q: Find the magnitude & direction angle of the vector (-1,2).

A: We can solve this as follows:

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: Find the component form of the unit vector that makes an angle 0 = 3 2л with the positive x-axis.

A: We have to write the component form of the unit vector which makes an angle -2π/3 with positive x…

Q: Find the angle between vectors and

A: Given vectors are same i.e. they are parallel.

Q: Rotate the vector (5,1) 90° clockwise about the origin. ([ ? ],[ ])

A: We need to rotate the following vector 90° clockwise about the origin x,y = 5,1

Q: 4) -16i + 30j

A:

Q: Which of the following vectors is equivalent to the vector with magnitude 2 units that is oriented…

A:

Q: find the component form of the vector. The unit vector that makes an angle u = 2π/3 with the…

A: Given vector is unit vector. So, magnitude v=1 Angle made by vector with positive x-axis is u=2π3

Q: A child pulls a sled along level ground by exerting a force of 30 pounds on a handle that makes an…

A: Given that: The magnitude of v is 30 pounds Angle( θ ) = 45°

Q: Find the horizontal component of the vector if |V|= 4 and theta =50°

A: given |V|= 4 θ=50° horizontal component =|V|×Cosθ

Q: Find the Unit Vector for the given vector ,

A: The given vector is -5,12

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

A:

Q: Find the magnitude of the horizontal and vertical components of the vector with magnitude 2 pounds…

A: Vector components as per trigonometry.

Q: Find the direction angle 0 of the vector v = .

A:

Q: ii. the unit vector in the direction of BC.

A: In this question we have to find the unit vector of in the direction BC

Q: (3,6) The magnitude is

A: It is magnitude of vector.

Q: Calculate the angle between the vectors and . Write your final answer in radians, either as an…

A:

Q: A plane with an airspeed of 450 miles per hour is flying in the direction N35°W.A vector is…

A: Concept:   The calculus helps in understanding the changes between values that are related by a…

Q: Find the unit vector in the direction of

A: Unit vector in the direction &lt;-2, -5&gt; Unit vector have magnitude 1

Q: Find the angle 0 between the vectors in radians and in degrees. u = 4i + 2j + k v = 2i – 4j (a)…

A: u=4i+2j+kv=2i-4j

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: nd the an

A: Here we have, u→=cosπ3i+sinπ3j ........................................ (1)  v→=cos3π4i+sin3π4j…

Q: Express the vectors in terms of their lengths anddirections. √2i + √2j

A: If a vector is defined as: v→=ai+bj Then, the length or magnitude of the vector is: |v→|=a2+b2 The…

Q: find the component form of the vector. The unit vector that makes an angle of π/6 radian with the…

A:

Q: Find the unit vector in the same direction as

A:

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

A: Given position vector:                         v=3i+j

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

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

Q: Express the vectors in terms of their lengths anddirections. i + 2j - k

A: Given:  i + 2j - k

Q: ) The magnitude of the vector a = 2i – 3j is

A:

Q: Write the polar form of the vector 3 + 4i.

A: This is a problem of complex analysis.

Q: find the magnitude and direction angle for the vector v=2i-6j to correctly write v in trigonemetric…

A: Given : The vector v = 2i - 6j to correctly,   ⃗⃗⃗⃗⃗               ⃗v(2,-6)  magnitude of (2,-6)…

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 that has the same direction as 8i – j + 4k Thank you

A: Given vector 8i-j+4k. For any given vector V the unit along the direction of the given vector can be…

Q: 5. Sketch the vector as a position vector and find its magnitude. v =-6i - 4j

A:

Q: Find a unit vector in the direction of the given vector. Verify that the result has a magnitude of…

A:

Q: Find the magnitude and direction of the resultant of the following vectors using Laws of Sines and…

A: Given that x=10N and Y=5N. The graph formed is, Now decompose X and Y vector along x and y…