Suppose that u,v are two vectors such that Ju| = 3 and |v| = 4. Let 0 represent the angle between u and v. %3D Find 0 if we know that Ju + v = V13 3

Q: or what values of aj are the vectors [ai,4,3] and a) orthogonal? b) Parallel? c) Have 45 degree…

A: If 2 vectors a⇀,b⇀  are orthogonal, their dot product a⇀.b⇀ =0 Let u=a1,4,3 and v= 3,-2,12 So,…

Q: Suppose that u and v are vectors in R' both of length 2/2 and that the length of u – v is also2 /2.…

A: The solution is give as

Q: Find the smallest angle between the vectors v = (1,1,2) and w= (2,4,5).

A: The given vectors are,

Q: For what values of b are the given vectors o , (smallest value)

A: Let m→=-12, b,3 and n→=b, b2,b  If m→ and n→ are orthogonal.

Q: The angle 0 between the vectors u and v satisfies cos 0 So if u and v are perpendicular, then u'v =…

A: Given, the vectors u = (4, 5, 6) and v = (3, 0, -2). We have to find the angle between two vectors u…

Q: a vectors p = (2) and t = (,).

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Q: Suppose U and W are vectors in R" then ||U +W|| = ||U|| + ||W|| if the angle between U&W is equal…

A:

Q: (b) Find the angle between the vectors u and v if u = (2,3,5) and v = (1, -4,3) in %3D R3.

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Q: Suppose U and W are vectors in R" then ||U +W|| - ||U|| + || W|| if the angle between U&W is equal…

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Q: Suppose that u and v are vectors in R7 both of length 2/2 and that the length of u- vis also2 /2.…

A: We can evaluate  the given problem as follows:

Q: If AT = ul v. A and if the vectors U and V satisfy Au 5u and Av = 7v, then True False

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Q: Given the vectors u=(2,1,1,1) and v=(3,2,-1,2) ,find the value(s) of such that  U•(u+tv)=16

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Q: Let a and b be two vectors such that Jal =17, b is a unit vector, and 0= " is the angle between…

A: Solve for

Q: α, β and γ are the angles made by the vector with x, y and z axis respectively. The squares of the…

A: Given ,  α, β and γ are the angles made by the vector with x, y and z axisrespectively. We have to…

Q: Suppose that u and v are vectors in R7 both of length 2√2 and that the length of u - v is also²√².…

A: Solution :

Q: Suppose thatu and v are vectors in both of length and that the length of u-v is and the angle…

A: Let's find.

Q: If a = (4, 3, 1, – 2), ß =(-2, 1; 2, 3) tween a and ß. are two vectors in V(R), find the angle be-

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Q: For what value of a is the vector v = ⟨4, -3, 7⟩ orthogonal to w = ⟨a, 8, 3⟩?

A:

Q: 2. The angle e between the vectors u and v satisfies cos 0 = So if u and v are perpendicular, then…

A: The angle between two vectors is, cosθ=u·vu v The vectors are perpendicular if u·v=0. The given…

Q: s given 2 vector A and B of non zero magnitude, what is the angle between them if A.B as value -AB/2

A: The dot product between two vectors, X and Y is defined by the formula, X·Y=XYcosθ, where, θ is the…

Q: Consider the vectors u = (7,1,5, -5) and i = (3,4, c,0) in R*. a. Find the value of c that will make…

A: In this question, the concept of scalar products is applied. Given, u→=7,1,5,-5 and v→=3,4,c,0 in R4

Q: . Given two vectors = w a = a2 show that

A: Given w→ = w1w2w3a→ = a1a2a3 We know that the cross product of w→ and a→ is w→×a→ = ijkw1w2w3a1a2a3=…

Q: Find the measure of the angle between the two vectors. 1) u = (4, 9) v=(-3, -8) 2) u = (-8, 9) v =…

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Q: The angle between two vectors a = (1, 1, 2) and b = (-1, 2, k) is 60°. Find the value(s) of

A: Topic:- application of vector algebra

Q: Let C and D be points with position vectors c and d respectively. If |c| = 5, \d| = 7 and c·d = 4,…

A: As per our guidelines, we are supposed to solve only first question. Kindly repost other question as…

Q: Show that the pair of vectors is perpendicular. 3? + ? and ? − 3?

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Q: Find the angle between the two given vectors. u = (1, –4, 1), v = (0, 2, –2)

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Q: Consider the following vectors. u = (5, 0), V v = (1, 1) Find the lengths of u, v, and u + v. ||u||…

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Q: Suppose u = (0, –2) and v = (2, 2) are two vectors that form the sides of a parallelogram. Then the…

A: This question is based on parallelogram diagonal.

Q: Suppose that u and v are vectors in R7 both of length 2 /2 and that the length of u - v is also2 /2.…

A:

Q: The angle between vectors (1,-1,–2) and (0,4, –3) is, approximately,: Select one: a. -1.41 O b. not…

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Q: Find the smallest positive angle between the given pair of vectors. (3,1) , (4,6)

A: The given pair of vectors are,

Q: b) Find the angle (0) between vectors between s = [1, –5, 4] and t = [3,3, 3].

A:

Q: Suppose u and v are two vectors. Then (2u + v) · (u x v) = 0, always. O True O False

A: (u x v) is the cross product of u and v. And it is perpendicular to both u and v.

Q: 2b.) Suppose u, w are two vectors in R' satısfyıng uXu = 4, wXw uxw = 8. What is the distance…

A: Given u and v be two vectors in ℝ7 satisfying u×u=4, w×w=16, u×w=8

Q: 7. Let u and v be two vectors for which ||u||² + ||v||² = ||u + v||² From this information alone,…

A: Given that u2+||v||2=||u+v||2 consider the right hand side of the given equation. ||u+v||2=u+v.u+v

Q: Compute |u × v| if u and v are unit vectors and the angle between them is π/4.

A: u and v are unit vectors and angle between them is π4

Q: Find the measure of the angle between the two vectors. 4) u =(-6, -2) v = (6,-6)

A: An angle between 2 vectors is defined as, cosθ=u→·v→|u→||v→|   Here given vectors are,…

Q: If u and v are vectors in Rn, what is the relationship between uT v and vT u? Are they equal?…

A: We are given the vectors,  u and v are vectors in Rn. Let us use the notations,…

Q: Find all unit vectors perpendicular to (3, 1, 4) that make equal angles withj and k.

A: Here we have to find the unit vector. The solution is following.

Q: Find the angle between the vectors u = (2, 5) amd v =

A: Given: There are two vectors: u=2,5v=4,-3 To determine: The angle between the given two vectors.…

Q: Suppose that u and V are vectors of lengths 2 and 3, respectively. If the angle between u and V is…

A: Dot product of two vectors u and v is given by

Q: Let ā = (4, 3) and b = (– 4, 4). Find the angle between the vector, in degrees.

A:

Q: 2a.) Suppose u, w are two vectors in R7 satisfying uxu 4, wxw 16, uXw = 8, What is the cosine of the…

A: We are given that : u→.u→=4⇒u→u→cos 0=4⇒u→2=4⇒u→=2 w→.w→=16⇒w→w→cos 0=16⇒w→2=16⇒w→=4 Now, Let θ be…

Q: Suppose that u and v are vectors in R? both of length 2/2 and that the length of u-v is also2 2.…

A: We will use expansion of u-v to find the angle

Q: Find the angle between the vectors u and v if u (2,3,5) and v = : (1,–4,3) in (Ctrl) ►

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Q: If v and w are two nonzero vectors and θ is the smallest nonnegative angle between them, then v . w…

A: Given: If v and w are two nonzero vectors and θ is the smallest nonnegative angle between them, then…

Q: If u = (1,-3,2) and v = (-2,3,4). Find the distance between the vectors d(u, v) and d(v, u).

A:

Q: Suppose that u and v are vectors in R^7 both of length 2√2 and that the length of    u − v is also…

A: Given, u=22v=22u-v=22

Q: Consider vectors i and v with ||u|| 2 and ||0|| = 9. Suppose the angle between the two vectors is 4…

A: