Find the area of the parallelogram spanned by the following vectors. u = [4, –6, 5] v = [0, 6, 8] %3D Area of parallelogram = Ex: 1.234

Q: Find the weighted Euclidean distance between the given vectors. = n with weights w = d(u, v) = Ex: 1

A:

Q: Find the dot product of the following vectors →uu→ and →vv→.. Refer to image below →uu→ ⋅⋅…

A:

Q: Find a vector v such that v = 15 and v is in the same direction as –li + 13j

A: The solution is given as

Q: Find the dot product of the following vectors u and v.

A: There are two ways to multiply two vectors The dot product produces a scalar quantity It has no…

Q: Find in terms of i and j the following vectors :

A:

Q: Find the volume of the parallelogram in which the vectors (S, T, R) are adjacent sides whose values…

A: Given: The volume of the parallelogram of the vectors (S, T, R) that are adjacent sides can be…

Q: Find ||e − 4f||, assuming that e and f are unit vectors such that ||e + f|| = √3.

A: The step-by-step solution to the given question is ..  we have ,  e+f=3..........(1) we have to find…

Q: [:] [] Find c so that the vectors and are parallel.

A: Find c so that the vectors c4 and 25  are parallel. Let u=c4 and v= 25 be two vectors. Two vectors…

Q: Let ā = 2 and b a) Find the area of the parallelogram formed by the two vectors.

A:

Q: Find the area of the parallelogram spanned by vectors v and w suchthat ||v||=||w|| = 2 and v · w =…

A:

Q: Use the cross product u ✕ v to find the obtuse angle between vectors u and v, where u = −i + 6j +…

A: The answer is in step 2.

Q: Find the dot product of the following vectors u and 7.

A:

Q: find (a) the area of the parallelogram determinedby vectors u and v and (b) the volume of the…

A: The area of the parallelogram determined by the vectors u and v is A=u×v. Given u = i + j and v = j.…

Q: Determine the value(s) of k such that the area of the parallelogram formed by the vectors a = (k +…

A:

Q: Find the positive value of m that makes the angle between the vectors equal to 5 a = i +j+k b = mi –…

A: Given that, a⇀=i^+j^+k^ b⇀=mi^-k^ Then we get, a⇀·b⇀=i^+j^+k^·mi^-k^a⇀·b⇀=m+0-1=m-1 Moreover we get,…

Q: Find the area of the parallelogram that has the following vectors as adjacent sides. u = & v =

A:

Q: The angle u= between the two vectors \(\) and U= is equal to 0=T

A: We know that angle between two vectors is given by θ=cos-1u→·v→uv Here, u→=-4,2,1 and v→=-20, 10, 5.

Q: Let a and y 6 Find the vectors v = 5x, u = x + ÿ, and w 5a + %3D || ||

A:

Q: Compute the dot product of the two given vectors: 27 1 3. Answer:

A:

Q: Find the angle in degree between the two vectors as indicated in the rectangular box of dimension…

A: *to find:- angle between the vectors u & v.

Q: 29. Find the volume of the parallelepiped PQRS if the vectors V(PQ). V(PR), and V(PS) are,…

A:

Q: Find the cross product of the vectors ä = and b = .

A:

Q: For the given vectors a and b, find the cross product a x b. a = i +j+ k, b = 5i - 2k

A:

Q: Suppose that u and v are unit vectors in R°. If the angle between u and v is T/4, then what is the…

A: Given that vectors u and v are unit vectors and angle between vectors u and v is π4.  We know that…

Q: Find the dimension of the following set of vectors: --8 Q2 v1 = ,v3 0, v4 = A 4 B 3 D1 E None

A: The given set of vectors are: v1=101 ,    v2=213 ,     v3=000  ,       v4=112

Q: Find the cross product of the unit vectors. jx i

A: Topic :- Vector

Q: Q6. Find the volume of parallelopiped formed by the vectors , and .

A: To find the volume of the parallelepiped formed by given vectors.

Q: At what value of k are these vectors collinear?

A:

Q: Find the area of the parallelogram determined by the given vectors. 3 u = 2i – j+ 3k, v = ÷i + 2j –…

A: If vector a and vector b are the two adjacent sides of a parallelogram then the area of the…

Q: Find the sum of the given vectors; + B Å = 440 N Z 236°, B= 580 N Z 162° Draw and label a diagram…

A: Obtain the graph of vectors as follows: The third arrow is the resultant vector.

Q: List as many equal vectors as possible for the diagram below: A B D E с

A:

Q: Find v x w, where v and w are vectors of length 3 in the xz-plane, oriented as in the figure below,…

A: Explanation: Given that,  Vectors v and w length is 3 angle between vectors v and w:…

Q: The area of the parallelogram whose adjacent sides are the vectors u and v is a) Ju · v| c) Ju x v|…

A:

Q: Use the cross product u x v to find the obtuse angle between vectors u and v, where u = i +8j + k…

A:

Q: Find the area of the parallelogram spanned by the vectors -i+ 2j and i - j.

A:

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

A:

Q: Find the volume of the parallelepiped determined by the vectors a i+2j-k, b 3i+j-4k and e= -2j+5k. O…

A: The parallelepiped is formed by the vectors, a→= i + 2 j - kb→= 3 i + j - 4 kc→= -2 j + 5 k  volume…

Q: Find the Euclidean distance between the given vectors. -1 m –11 d(m, n) = Ex19

A:

Q: Compute the distance between the following vectors: 2 2 w = 3 v = -4 1

A: Hope it is useful

Q: Which of the following pairs of vectors are perpendicular? /2 > and and and < - C. None of These…

A:

Q: Find the dot product of the following vectors u and 7. ū u v =

A: We can find the answer as below.

Q: H.W 9- Given that a = (1,1) and b = (-1,0). Find a vector in the same direction as but a+b %3D %3D…

A: Given: a→=1,1, b→=-1,0 To find: A vector in the same direction as but a→+b→ five times as long.

Q: Which option is equal to the DOT product uV of vectors 3 u = 1 4 -4 26 24 N N

A: The given vectors are: u=314 and v=22-4 Multiply the numbers component wise to find the dot product…

Q: The volume of the parallelepiped determined by the vectors a =,b= and c = is: %3D (A) 12 (B) 6 (C)…

A: This question is related to volume of parallelepiped, we will solve it by using the formula of…

Q: Express the following vectors in terms of p, q and r. GF (a) (b) CF (c) OB (d) OD le) OC

A: There are two major laws used to perform vector addition. These are Triangle law of vector addition…

Q: For what value of "c" are the following vectors perpendicular? 3 (2, с, 9) аnd ў 3 (Зс, —1,5) (Зс, —…

A:

Q: What value(s) of a are necessary for vectors i = (2, a), and w = (4a, 3) to span R?

A:

Q: For each of the following pairs of vectors u and v, caloulate uov and the angle e (to the neares+…

A:

Q: Show that LM = 2AB.

A:

Q: Find the distance between the two vectors. u = (4, – 8), v = (- 8,8) O A. 100 О В. 4 Ос. 20 O D. 400

A: