Determine whether the statement is true or false. If it is false, explain why or give an example that shows it is false. If a particle moves along a straight line, then the velocity and acceleration vectors are orthogonal.

Q: What is a position vector? How is a position vector represented using i and j?

A: The position vector is a vector whose initial point is origin and and the terminal point is any…

Q: Determine the two unit vectors that are orthogonal to A= . Which two unit vectors are parallel to A?

A: Given that, A = <1, 2> Suppose that <a, b> is orthogonal to the vector A = <1, 2>…

Q: Find the distance of point A(2/3, 2) from the line that passes through the origin and parallel to…

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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: Find two vectors in opposite directions that are orthogonal to the vector        u = −(1/4)i + (3/2)…

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Q: Find the component of the resultant vector. u = v = Find: u +v

A: If the vector u=a1,b1 and the vector v=a2,b2 then the resultant vector u+v is; u+v=a1+a2 , b1+b2…

Q: Find the value(s) of h for which the vectors are linearly dependent. Justify your answer.

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Q: forces acting at a point P are given as 30 pounds with N10°E and 80 pounds with N 80° E. Approximate…

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Q: What is the unit vector in the direction of v = ?

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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 the distance of point A(2-3,2) from the line that passes through the origin and parallel to the…

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Q: A model airplane is flying horizontally due south at 30 mi/hr when it encounters a horizontal…

A: Here we will find the asked quantities,

Q: Find the component form and magnitude of the vector v. Initial Point Terminal Point (15, −3)…

A: The given initial and terminal points of given vector (v) are,

Q: Find the vectors u + v, u-v, and 5u | u = i + j, v = -j – 2k %3D u + v = u - v = 5u

A: The given vectors are

Q: True or False u xv is a vector that is parallel to both u and v.

A: Whether the statement "u xv is a vector that is parallel to both u and v" is true or false.

Q: How do you find a vector's magnitude and direction?

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Q: Find the component form and magnitude of the vector v. Initial Point Terminal Point (17, -3) (9, 5)…

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Q: A model airplane is flying horizontally due south at 12 mi/hr when it encounters a horizontal…

A: Let the unit vectors i,j,k denotes east,north and upward respectively. The velocity of plane…

Q: Find values of h for which the vectors are linearly dependent. Justify your answer.

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Q: Given an acceleration vector, initial velocity (uo,vo.wo), and initial position (xo,YoZo), find the…

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Q: Find the magnitude of the vector V= (-1,3). 10 10 8 22

A: Given V¯=-1,3 To find magnitude of vector

Q: Let v = (-4, 3, 2). Find a unit vector in the same direction as v.

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Q: Determine whether the two vectors are orthogonal and, if not, whether the angle between them is…

A: We know that angle between two vectors a1,b1,c1 and a2,b2,c2 is given as θ=cos-1a→·b→a→b→        ⋯⋯1…

Q: determine whether the two vectors are orthogonal and, if not, whether the angle between them is…

A: The dot product between two vectors v and u is given by                v·u=∥v∥∥u∥ cosθ where  0≤θ≤π…

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

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Q: determine whether the two vectors are orthogonal and, if not, whether the angle between them is…

A: Two vectors are said to be orthogonal if their dot product is zero. Let, ai+bj+ck and xi+yj+zk be…

Q: Determine whether the statement is true or false. If it is false, explain why or give an example…

A: A velocity vector of variable magnitude cannot have a constant direction.

Q: Given an acceleration vector, initial velocity (uo vo Wo). and initial position (Xo.yoZo). find the…

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Q: Given an acceleration vector, initial velocity (uo,vo), and initial position (xo.yo), find the…

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Q: Find the component form and magnitude of the vector v. Initial Point Terminal Point (4, 2) (-8, -7)…

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Q: Find a unit vector in the direction of

A: Let us consider the given vector as,

Q: A 600 pound object hangs from two cables with angles below the horizontal of 0 25 and ø = 47…

A: We can use Lamis theorem to find the tension in the cables.

Q: Let v be the vector The vector of length 3 in the opposite direction as v is 2 Select one: a. -2 O…

A: Vector v  = (1,2,-2) opposite direction to  given vector can be find as -v (-1,-2,2)

Q: Find the horizontal and vertical components of the vector with the given length and direction, and…

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Q: Find the component form and the magnitude of the vector v. Initial Point Terminal Point (-4, 6) (24,…

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Q: y =-x (b) Use it to project the vector v =

A: 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: b. A tennis ball is served horizontally from 2.4 m above the ground at 26m/s. The net is 11.5m away…

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Q: Find the component form and the magnitude of the vector v. Initial Point Terminal Point (-4, 6) (17,…

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

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Q: Dot Product of a vector with itself is equal to the square of its magnitude. True O False

A: Follow the steps.

Q: Q:: Determine whether the vector w= is a linear combination of the vector u= and the vector v = ?

A: w is not a linear combination of vector u and the vector v.

Q: What is a unit vector in the direction of u

A: Given,u= 40-3-12First calculate magnitude of u;So,  u=42+02+-32+-122                 =16+9+144…

Q: Find a unit vector that is orthogonal to both i+j and i + k. 1 -k 3 Need Help? Watch It

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Q: Find the component vector of v. What is u + v?

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Q: Find a unit vector that is orthogonal to both i + j and i + k

A: Find a unit vector that is orthogonal to both i + j and i + k.

Q: Given an acceleration vector, initial velocity (uo,vo.Wo), and initial position (xo.yo.zo), find the…

A: Given, a(t)=0,0,18 Initial velocityu0,v0,w0=7,1,0 Initial position x0,y0,z0=0,1,0

Q: A river flows due south at 5 mi/h. A swimmer attempting to cross the river heads due east swimming…

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