17) Find a vector v whose magnitude is 26 and whose component in the i direction is twice the component in the j direction.

Q: Find the horizontal and vertical components of the vector v that has magnitude |v|=2 and direction…

A: Given, magntude of the vector =v =  2 and direction  β (angle with the +x axis)=45o  We have to find…

Q: If v = -2i + 5j, find a vector orthogonal to v.

A: Given v=-2i+5j We need to find a vector that is orthogonal to v. Two vectors are said to be…

Q: 4) Find the magnitude and direction of the vector i that has components v4 = –1525 and vy = -8402.

A:

Q: A vector with magnitude 7 points in a direction 145 degrees counterclockwise from the positive x…

A:

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: If the magnitude of vector x is 10, y is 21 and magnitude of x-y is 17 what would x+y be?

A: Use the property of magnitudes to solve this problem.

Q: Find an equation of the plane that passes through the point (1, 3, −7) and is perpendicular to the…

A: Direction ratio of the line n=j is (0,1,0)  Given that the line is perpendicular to the plane.  So…

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: find the given vector  Vector v of length 2 making an angle of 30◦ with the x-axis

A: To find: the vector v of length 2 making an angle of 30◦ with the x-axis

Q: Find a vector v whose magnitude is 4 and whose componentin the i direction is twice the component in…

A: Given: magnitude of the vector  is 4  The component of the vector  in the i direction is twice the…

Q: Find a vector that has the same direction as 8i-j+4K but has a length of 6

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Q: a/Find the length and diredtion of the vector 式ド、で Aュ2i+3k where や ノ

A: The given question is from vector and can be solved as shown in step2

Q: 13. Show that the pair of vectors i + i and i – i is perpendicular.

A: Two vectors is said to be perpendicular if their scalar product is zero.

Q: 18 Find the Unit Vector that has the Same direction as vector V = 8i-6j

A: Given :  V = 8i - 6j

Q: Find the vector whose magnitude is 5 and which is in the direction of the vector 4i- 3j + k. Q.2

A: Since you have asked multiple question As per our policy, we will solve the first question for you.…

Q: Find the vector equation of the line that passes through point M(1, 1, 2), intersects the following…

A: Question is solved.

Q: Express the vector v =12i -5j as the sum of a vector parallel to b = 3i +4j and a vector orthogonal…

A: here we have to write the vector v in the form: v→=β1+β2Where β1 is parallel to b→ and β2 is…

Q: Find the components of the vector with magnitude 5 and direction θ = 2π/3

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Q: Find a vector in component form that is perpendicular to the line 3x 4y = 6.

A: To find the vector in component form that is perpendicular to the given line.

Q: A motorboat sets out at 10 am from a position (-6i – 2j) km relative to a marker buoy, and travels…

A: please see the next step for solution

Q: 4.9. Find the vector v with magnitude ||v|| = 8 that has the same direction as vector u =

A:

Q: Find the magnitude only for the vector from T(-2, 6, 1) to U(10, -3, -4).

A:

Q: what if it was the same vector, but 5y^2j?

A:

Q: 6. Find the unit vector that has the same direction as the vector v = 3i- 2j

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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: 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 a vector equation for the line through the point (2, 5, 8) perpendicular to the plane 2x + 5y +…

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 a unit vector that has the same direction as  4i − j + 8k.

A: we have to find a unit vector that has the same direction as 4i-j+8k let the given vector be a→…

Q: 9. Which is traveling faster, a car whose velocity vector is 217 +35j or a car whose velocity vector…

A: We are authorised to solve only one question, please repost remaining questions Magnitude of vector

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 vector with length V17 and same direction as i= (7,0, –6).

A:

Q: True/False: Vectors are completely determined by their magnitude. In contrast, scalars are…

A:

Q: In what direction should one move from the point (2, 3) to increase 4x?y most rapidly? Present your…

A: The solution is given below

Q: A vector is 0.888 m long and points in a 205 degree direction. Find the y-component of the vector.

A:

Q: Which vector has the smaller magnitude: u = 3i - j - k or v = 2(i + j + k)?

A: Our Aim is to tell which vector given below has the smaller magnitude u⇀=3i-j-k and v⇀=2i+2j+2k.

Q: 13. Find the unit vector having the same direction as v. v = 6i-8j

A: We have to find the unit vector.

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

A:

Q: 3. Consider the vectors X and Y in R³ where X = -i+3j and Y = 4i - 2j + 2k. Find the unit vector…

A:

Q: What is the magnitude of a vector joining two points P(x1, y1, z1) and Q(x2, y2, z2)?

A: The two points  are : P(x1, y1, z1) and Q(x2, y2, z2). As the vector is directed from point P to Q ,…

Q: Explain why the vector 2u × 3v points in the same direction as the vector u × v.

A: Consider the vectors: u=x1i^+x2j^+x3k^v=y1i^+y2j^+y3k^

Q: i. What are the lengths of the x- and y-components of this vector? 10

A: Find your answer below

Q: Find a vector v whose magnitude is 6 and whose component in tho i direction is twico the component…

A:

Q: What is the vector j?

A: We have to tell what is vector j   it is also written as j→

Q: A vector has an x-component of −26.0 units and a y-component of 45.0 units. Find the magnitude and…

A: Explanation of the solution is given below..

Q: 4) Find the magnitude and direction of the vector i that has components vz -1525 and Vy -8402. %D

A: Any vector lying in the xy-plane, can be decomposed into two vectors which lie along the x and…

Q: Express the vector v = 4i + 2j - k in terms of magnitude and %3D direction.

A:

Q: Find the horizontal and vertical components of the vector u that has magnitude |u|=4 and direction…

A: Given that, the magnitude is |u|=4 and the direction angle is α=20∘