Let v = 3i + 6j and w = 3i + 4j. Find a number c so that w cv is perpendicular to v.

Q: Use the formula (i + j + k )(i)=1 to find the angle between the diagonal of a cube and one of its…

A: Given: Given :  (i + j + k )(i)=1

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

A: Given: To Find:

Q: The vectors A 5i + 7j – 8k and B 3i + yj + zk are known to be parallel. Find y and 2 y = = Z

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Q: Find the dot product v*w and the angle between v and w. v = 3i - 4j + k, w = 6i - 8j + 2k

A: Find the dot product  v·w.

Q: find the length and direction (when defined) of u X v and v X u. u = i + j - k, v = 0

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Q: Let u = 2i – 8j and v = 4i + j. Are u and v perpendicular? Why why not? %3D or

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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: Given: The magnitude and direction of two vectors  u=9, θu=0°v=2, θv=60° To find the component form…

Q: For what value of d is (4i-2m j + m k )d a unit vector

A: For the given vector  v = ( 4 i - 2m j + m k ) d = ( 4d i - 2md j + md k ) = ( 4d, -2md, md ). We…

Q: Find the dot product v• w and the angle between v and w. v = -j+k, w =i+j+k

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Q: For what value of m, the vector 4i + 2j – 3k and mi – j+ V3 k have same magnitude? Q.3

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Q: H For the pair of vectors u = and v = in R*, find the size of the angle 0 between u and v. Hence,…

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Q: Find u · v where 0 is the angle between u and v and ||u|| = 4, ||v|| = 12, 0 = 3

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Q: Rearrange the formula to make v the subject. V - u t = a %3D V =

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Q: If F = Ax + By +Cz (Given α, β and γ are the angles made by the vector with x, y and z axis…

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Q: Find the dot product v•w and the angle between v and w.   v=i−2j+4k​, w=3i+j+3k   v . w =?

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Q: Given vector a= i+ 2j and b= 2i + 5j. Let 0 be the angle between the vector's directions. Compute…

A: Consider the given vector a→=i+2jb→=2i+5j   Find the magnitude. a→=12+22=1+4=5   b→=22+52=4+25=29

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

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

Q: For what value of d is (4i- 2m j+ mk)d a unit vector m =3.6 إجابتك

A: Given that the vector a=(4i-2mj+mk)d. Substitute m=3.6 in a=(4i-2mj+mk)d,…

Q: Find the component form of v, where  u = 2i − j and w = i + 2j. v = 1/2 (5u + w)

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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: topic - vectors

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

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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: I am attaching image so that you understand each and every step.

Q: find the length and direction (when defined) ofu * v and v * u. u = 2i + 3j, v = -i + j

A: Given: u=2i+3j, v=-i+j we know that cross product of given two vectors p→=ai+bj+ck, q→=xi+yj+zk is…

Q: Find the dot product v*w and the angle between v and w. v = i + j, w =i + j - k

A: Given: v=i+jw=i+j-k To Find: The dot product of vector v and w and the angle between v and w.

Q: The angle between the vectors i + 2j + k and 3i+ j - 5k is

A: Given: Let, A=i+2j+kB=3i+j−5k

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: Find cos 0, where 0 is the angle between two vectors a = 2i – 3j + 2k, b = -2i + 2j+6k

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Q: find U.V. where is the angle between u and v 11011=80,1 vll = 220 %3D %3D

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Q: If is perpendicular to v, then u × v + v O 2|7| II

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Q: Q2) Find the area of parallelogram and the unit vector perpendicular of: A = 2i + j – 2k B = i + 3j…

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Q: Let u = 3j - 2k and v = 2i + 5k. Calculate cose where between u and v. is the angle

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Q: Given the vectors s = 6i-4j and t=-i+2j, find s t. S.t = i j

A: topic - dot product of vectors

Q: For what value of m, the vector 4i + 2j – 3k and mi – j + V3 k have same magnitude?

A: Given Data: Vector 1: x1i+x2j+x3k=4i+2j-3k Vector 2: y1i+y2j+y3k=mi-j+3k The magnitude of vector 1…

Q: b) Find the value(s) of z such that the angle between the vectors U₁ = and U₂ = is equal to 30°.

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Q: Find the angle between AtZB and B+.A ?where F= i+2j-3K and B = 3i-j + 2K Parallel to

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Q: Find the value of c that will make the two beams intersect. umbolio notot an ond fro otiong whor…

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Q: Find the area of the parallelogram with adjacent sides u = i + 3j − 2k and v = 3i − j − k.

A: u=i+3j-2k  &  v=3i-j-k Now, u×v=ijk13-23-1-1=i-3-2-j-1+6+k-1-9=-5i-5j-10k

Q: For the given vectors u and v, find the cross product u × v. u = 7i − j,  v = −7j + k

A: Given : u=7i-j  and v=-7j+k To find: The cross product of u and v : u x v

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: Let's find.

Q: Find the dot product v•w and the angle between v and w. v=i-k, w=i-j+k

A: here we have to find the dot product and angle between given vectors. the solutions is following.

Q: Given the vectors v = 3i-8j and w =6i-j, find v W.

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Q: Find the angle between the vectors i + j + 2k and 2i - j +k

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Q: Find the dot product v• w and the angle between v and w. v= - 4i +j+ 2k, w = 3i +4j + k

A: The given vectors are: v=-4i+j+2k, w=3i+4j+k

Q: Find the length and direction (when defined) of u x v and v xu. u= 2i - 2j - k, v=i-k

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Q: Given r(t) 12ti + 5cos ti + 5 sintk, find the unit binormal vector and torsi =

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Q: Let a = ci + jand b = 4i + 36j. Find c so that a and b are orthogonal. C = i

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Q: If v · w is negative, what does this say about the angle between v and w? Draw a 3-dimensional…

A: we have been given that v.w is negative which means v · w < 0 which means the angle between v and…

Q: et a = = = ci + j and b = 4i + 20j. Find c so that a and b are orthogonal. i

A: Please refer to the image below

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

A: Given:

Q: For vectors v and w E R, show that: (a) |u x v||? = ||u||2 ||v||2 – (u - v)2 (b) ||u x v|| =…

A: derive a formula for the magnitude of v×u, for nonzero vectors v,u:…