Hiwil show that_Viz 3i+6j_and_V=-i-zj have offosite direction.

Q: The product rule can be applied to the divergence of scalar f times vector    G-› as: ∇-›·(fG-›) =…

A:

Q: A vector with magnitude 3 points in a direction 205 degrees counterclockwise from the positive x…

A: To find the vector in the component form

Q: 6. Find the unit vectors that are parallel to the tangent line to the curve 2x3 at the point (2,…

A: The given curve is y=2x33 at the point 2,163. Calculate the unit vector that are parallel tot he…

Q: Explain Scalar times vector.

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Q: Find linearly independent vectors which generate al lutions of Ax = 0.

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Q: A vector with magnitude 6 points in a direction 190 degrees counterclockwise from the positive x…

A:

Q: If a vector is multiplied by a positive scalar, how is the result re-lated to the original vector?…

A: Explanation:

Q: 2- Suppose that vector v has initial point (-4,5) and terminal point (-1,12). a- Find the component…

A: a)A position vector v→ is defined as a line extending from the initial point (x1,y1) to the final…

Q: A vector with magnitude 7 points in a direction 310 degrees counterclockwise from the positive x…

A: Given:   Magnitude (V) = 7    Counterclockwise angle = 310

Q: A vector w has initial point (-4,-3) and terminal point (-5, 2). Write w in component form.

A: Ny using position vector formula, we calculate the required vector.

Q: Find the angle between the vectors (9, -2) and (-8, -3). Carry your intermediate computations to at…

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Q: let angle thetha be measured from x1 axis counterclockwise to a line drawn normal to the boundary…

A:

Q: In point P(-6,-8,8), express that vector that extends from P to Q(8, 6, -1) in: a. cylindrical…

A: Here we have to convert it into cylindrical coordinates.

Q: Describe 2-dimentional vector addition for any scenario? Put your best example over here.

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Q: Determine the set of points satisfying the condition described by Iz – 2i| + |z + 4i| express in the…

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Q: (A) Find plane equation that passes through the point (7,3,-5) and contains unit tangent vectors of…

A: To find the equation of a plane containing two lines and passing through a point (a, b, c) is given…

Q: Let u = -i + j, v = 3i - 2j, and w = -5j.Find specified scalar proju(v + w) or vector.

A: Here given vectors as u = -i + j, v = 3i - 2j, and w = -5j. Thus  v+w=3i-2j+-5jr(say)=3i-7j

Q: Find an equation of the plane through the point (4, 5, 1) and with normal vector 6i + j - k. Show…

A: The plane passing through a point A(a) with the normal vector n is given by: r·n=a·n where,…

Q: Compute paramenc curve Ogiven by bu Iine of the X= eEsinct) 二e ato t=

A: To Determine: Compute the tangent line of the parametric curve given by  Given: We have   x=etsint…

Q: A vector with magnitude 6 points in a direction 340 degrees counterclockwise from the positive x…

A: let vector =V given  magnitude=V=6and direction=θ=340°now Vector V=<x,y>=?…

Q: Find the angle between the vectors (5, -3) and (-9, -8). Carry your intermediate computations to at…

A: Using formula of Angle between two vectors.

Q: A vector with magnitude 3 points in a direction 265 degrees counterclockwise from the positive x…

A:

Q: Find the angle between the vectors (7, 3) and (8, -1). Carry your intermediate computations to at…

A:

Q: Give a vector parametric equation for the line that passes through the point (–2, 1, –2), parallel…

A:

Q: A vector with magnitude 10 points in a direction 295 degrees counterclockwise from the positive x…

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Q: A point moves so that sum of the squares of its distances from the vertices of a triangle is always…

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Q: Suppose that a projectile is fired into a headwind that pushes  it back so as to reduce its…

A: Given a projectile is fired into a headwind that pushes  it back so as to reduce its horizontal…

Q: Write the equation of the plane with normal vector n passing through point Po in the scalar form ax…

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Q: Find the angle between the vectors (4, 2) and (7, -2). Carry your intermediate computations to at…

A: solve the following

Q: A vector with magnitude 8 points in a direction 70 degrees counterclockwise from the positive x…

A:

Q: A vector w has initial point (1, -5) and terminal point (-2, -3). Write w in component form.

A: We find the vector in component form when the initial and terminal points are given by simply…

Q: The scalar product of two vectors is defined as the product of their magnitudes times the of the…

A: In geometry and physics and its engineering applications, we use two kinds of quantities, scalars,…

Q: Find a vector of length 3 pointing in the same direction as .

A: Find a vector of length 3 pointing in the same direction as 4,-3,-4

Q: express vector in spherical components.

A: According to the given information, it is required to express the following in spherical components.…

Q: Create a vector-valued function whose graph is an ellipse, centered at (1, 2) with horizontal major…

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Q: Find the angle between the vectors (-8, –7) and (-6, 4). Carry your intermediate computations to at…

A:

Q: A vector with magnitude 8 points in a direction 70 degrees counterclockwise from the positive x…

A: Given, A vector with magnitude 8 points in direction 70 degrees counterclockwise from the positive…

Q: 2. Which does not exist for a line in three-space? a) vector b) parametric c) symmetric d) scalar

A:

Q: Represent the line segment from P(−2, −3, 8), Q(5, 1, −2) by a vector-valued function and by a set…

A: Represent the line segment from P(−2, −3, 8), Q(5, 1, −2) by a vector-valued function and by a set…

Q: If a vector is multiplied by a positive scalar, how is the result related to the original vector?…

A: Solution:- If a vector is multiplied by a positive scalar, how is the result related to the original…

Q: Show thet direcion vectors of Tue Iae メ-3 レ り+ チ一て Laeメ-コ X-3 ソャ) Z-3 -2 are orthogohal

A: Direction vectors and orthogonality

Q: Sketch planeglven by Iz-31 = 1Z + lomplen the Cunve in the |ス-3| - |N+3i| 2. 2. 2. =フナ

A:

Q: Express vector v with initial point P and terminal point Q in component form

A:

Q: Suppose v is a nonzero position vector in xyz-space. How many position vectors with length 2 in…

A: Given that, v is a nonzero position vector in xyz-space.

Q: Find the angle between the vectors (-5, 4) and (-3, -1). Carry your intermediate computations to at…

A: Solution:

Q: Prove the Sum and Di¡erence Rules for vector functions.

A: Let the vectors are, We have to prove,

Q: Let u = -2i + 3j, v = 6i - j, w = -3i.Find specified vector 4u - (2v - w)or scalar.

A: To Determine: find 4u-2v-w Given: we have u=-2i+3j  ,v=6i-j  ,w=-3i Explanation: we have…

Q: Find the displacement vector with initial point A(-3,4) and terminal point B(1,1) and determine the…

A: