Determine whether v and w are parallel,orthogonal,or neither. v = 3i - 2j; w = 4i + 6j

Q: Find the component form of v, where u = 2i – j and w = i + 2j. V u + 2w

A: Given: To Find:

Q: Find the component form of v given its magnitude and the angle it makes with the positive x-axis.…

A: Given that, II v II= 3, θ = 0°

Q: If v = 7i + 3j and w = 4i - 5j, find each of the following vectors: a. v + w   b. v - w.

A: v=7i+3j  and  w=4i-5j   a. v+w=7i+3j+4i-5j=7+4i+3-5j=11i-2j

Q: Find the component form of u + v given the lengths of u and v and the angles that u and v make with…

A: Find u+v

Q: Use vectors to find the lengths of the diagonals of the parallelogram that has i + j and i 14j as…

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Q: Find the component form of v given the magnitudes of u and u + v and the angles that u and u + v…

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Q: Find the component form of v given the magnitudes of u and u + v and the angles that u and u + v…

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Q: Determine whether v and w are parallel,orthogonal,or neither. v =2i + 2j; w =3i + 2j

A: we have to determine whether the given vectors v and w are parallel, orthogonal, or neither. v =2i +…

Q: Three vectors are given by: P = 2i – k Q = 2i – j + 2k R= 2i – 3j + k Determine: (i) (P+ Q) x (Р-…

A: The given three vectors are                       P→=2i^-k^Q→=2i^-j^+2k^R→=2i^-3j^+k^ We have to…

Q: Determine whether v and w are parallel,orthogonal,or neither. v =2i - j; w = 2i + j

A: Given: v =2i - j; w = 2i + j

Q: Find the component form of u + v given the lengths of u and v and the angles that u and v make with…

A: Solution: we know that u→=ucosθ i +usinθ j

Q: Determine whether v and w are parallel,orthogonal,or neither . v = 3i - 4j; w =3i + 4j

A: Solution:Given      v=3i-4j   and    w=3i+4j

Q: Given vectors u = (3, –6) and v = (-6, 2) , find the difference v – u and represent the difference…

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Q: Given vectors: ū = (4, 9), v = (-8, 15) and w=(2, 10) a) Show that and w can span R². b) Write u as…

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Q: Find the component form of u + v given the lengths of u and v and the angles that u and v make with…

A: This is a question of vector algebra. Kindly see the uploaded answer for detailed solution

Q: Determine whether v and w are parallel,orthogonal,or neither. v =4i + 2j; w = 2i + 4j

A: v=4i+2j,  w=2i+4j Now, v·w=4i+2j·2i+4j=42+24=8+8=16≠0 Therefore given vectors not orthogonal.…

Q: Use vectors to find the lengths of the diagonals of the parallelogram that has i + j and i – 14j as…

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Q: Use vectors to find the lengths of the diagonals of the parallelogram that has i +j and i – 22j as…

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Q: Use the vectors v=-2i+j and w=4i+3j to find: v + w

A: v=-2i+j and w=4i+3j

Q: Determine whether the planes are parallel, perpendicular, or neither. 7x + 28y - 21z = 1, -3x + 6y +…

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Q: Q.6 If vectors 3i +j-k and å i - 4j + 4k are parallel, find the value of 2.

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Q: Find x so that a and b are perpendicular, b = 2i +6j + xk b=2i-j+3k (i) a = 2i +4j-7k and (ii) a =…

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Q: Use vectors to find the lengths of the diagonals of the parallelogram that has i + j and i – 2j as…

A: This question is based on vectors and parallelogram properties.

Q: Find the component of u along v. u = 7i, v = 8i + 6j %3D Submit Answer

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Q: Use the given vectors u and v to find the magnitudes of vectors u - v and -2u. u =4i+6j+7k, v = -i…

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Q: Use vectors to find the lengths of the diagonals of the parallelogram that has i + j and i – 18j as…

A: topic- vectors

Q: Find the component form of v, where u = 5i − j. v = 9/5u

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Q: Find the component form of u + v given the lengths of u and V and the angles that u and v make with…

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Q: Use the given vectors v = 3i + 3j, w = i + 4j to find v.w and v.v

A: Given: v→=3i^+3 j^ & w→=i^+4 j^ To determine: v→.w→ & v→.v→

Q: Given vectors u = (8,-6) and v = (-3,-3), find the sum u +v and write the result in component form.…

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Q: Determine whether the planes are parallel, perpendicular, or neither. 6x + 24y - 18z = 1, -12x + 24y…

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Q: Use the vectors u = i + 4j and v = −6i − 9j. Find 3v + 4u.

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Q: Draw the coordinate axes relative to u and v and locate w.

A: Given :  u = 1,-1  , v = 1,1 , w = 2u+3v  We will calculate the vector w :    w= 2u+3v    = 21-1 +…

Q: The angle that vector A=2ax+3a,+4az makes with x-axis is 68.19 56.14 76.82 42.03

A: We have to find the angle between vector A and X axis.

Q: Use vectors to find the lengths of the diagonals of the parallelogram that has i + j and i – 10j as…

A: Here we will find the magnitudes of both diagonals,

Q: Use vectors to find the lengths of the diagonals of the parallelogram that has i + j and i – 22j as…

A:

Q: Given vectors u = (-7, –5) and v = (2, –2) , find the difference V – u and represent the difference…

A: Please refer to the solution which is uploaded in step 2

Q: Use vectors to find the lengths of the diagonals of the parallelogram that has i +j and i – 20j as…

A: Given query is to find the diagonals using vectors.

Q: Find the component form of u + v given the lengths of u and v and the angles that u and v make with…

A: Given that, ‖u‖=2,  θu=5‖v‖=1,  θv=2 The objective is to find the component form of  u+v.

Q: Use vectors to find the lengths of the diagonals of the parallelogram that has i + j and i – 18j as…

A:

Q: v = 6i - 8j, one of which is parallel to w = - i + j and

A: Solution :- Decompose v into two vectors v1 and v2, where v1 is parallel to w and v2 is orthogonal…

Q: Find the component form of v given its magnitude and the angle it makes with the positive x-axis.…

A: It is known that, Magnitude of vector v, || v || = 4 units  Angle made by v with x-axis, θ = 3.5°…

Q: Find the component form of u + v given the lengths of u and v and the angles that u and v make with…

A:

Q: Use vectors to find the lengths of the diagonals of the parallelogram that has i + j and i – 10j as…

A:

Q: Find the value(s) of aa making v=3ai −2j  parallel to w=a^(2)i +4j

A: Given:Here v=3ai-2j  and w=a2i + 6jTo find:We have to find the value of aGiven that v is parallel to…

Q: Find the component form of u + v given the lengths of u and v and the angles that u and v make with…

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Q: (The vectors A=i-j,B=j-k, and C = 3i-k, find triple dot (AXC). B

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: Find the component form of v, where u = 2i – j and w = i + 2j. V = u + 2w

A: Given: