What is the direction of u= (2,–3,–6).

Q: Consider the following vectors: 17 -2 -2 u = | 2|, v w = and b 3 2 When b is expressed as a linear…

A: Here we solve the system of linear equation .

Q: The vector equation for the line segment that joins the point P(1, 3, –2) to the point Q(2, – 1, 3)…

A:

Q: For what values of a and ß will the vector (a, 1, B) be orthogonal to (2, 0, 7) and (-1, 1, 2)? α =…

A:

Q: find the distance d(u, v) between u and v in the given exercise.

A: We will use the formula

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

A: As per our guidelines we are supposed to answer only one question and rest of the questions are…

Q: Find the length and direction (when defined) of u×v and v ×u. u = 7i- 2j - 8k, v=8i – 8k

A: length

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

A:

Q: Find the component form of v, where u = 31 - j. v = 3

A: Given: u=3i-j and v=83u To determine: The component form of v.

Q: Find the projection of u along v. u = 5i + 7j − 4k, v = k

A: Given, u = 5i + 7j − 4k, v = k To find the projection of u along v.

Q: Find the length and direction (when defined) of u x v and vxu. u= 5i + 3j – 5k, v=0

A: we know that  uxv=|u|.|v|sin∅.n^where ∅ is angle between u and v and n^ is unit vector perpendicular…

Q: for what value of Ca) will the Vector ū = -41-8)4ak,ū =ei+4j-5k are parallel

A:

Q: find the length and direction (when defined) ofu * v and v * u. u = 3/2 i - 1/2j + k, v = i + j + 2k

A: Given

Q: Find the length and direction (when defined) of u xv and v×u. u= - 8i – 4j – 3k, v = 3i + 3j + 4k

A:

Q: Find the length and direction (when defined) of u x v and vxu. u= - 12i + 9j – 12k, v = - 4i + 3j –…

A: Using formula of u x v and v x u,

Q: For what values of c are the vectors t + 3 and 2t + c2 + 2 in P1 linearly independent?

A: t+3  &  2t+c2+2 Now since these vectors must be linearly independent, therefore…

Q: For what value of t , if any, is the vector (2t, 1) parallel to the vector (4, -1) ? Not OA. t = -8…

A: Given two vectors: (2t,1) & (4,-1) Since both vectors are parallel so the angle between then is…

Q: Write the projection of 2î +3j-k along the vector î+j.

A: Given that: 2i+3j-k along the vector i+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:

Q: Find the angle θ between u=2i-3j+6k and v = 2i + 5j - k.

A: cosθ=u.vuv

Q: Given vector u = (6, –1) and v = (2, –2) , determine the value of u – 2v in component form.

A: Given query is to find the indicated vector.

Q: Given the points C(-4, –5) and D(-1, 1), express the vector CD in terms of i and j.

A:

Q: Given the vectors: A = 7+7+ k and B= 47+ 27+ k Find the vector projection of A onto B: Proj. _, A

A:

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 cos(0) if 0 is the angle between the vectors u= 4i – 3k and v = 2i – 2j + k 2 14 15 15

A: First I have written a short note , just use them and find that  Answer is 1/3

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 orthogonal projection of y onto u. y = -3/5] - 4/5 /5 4/5 b) c) d) 2.

A: The formula to find the orthogonal projection of y onto u is: projuy=u→.y→u→2.u→ Here,…

Q: find the length and direction (when defined) ofu * v and v * u. u = -8i - 2j - 4k, v = 2i + 2j + k

A: Given vectors - u = -8i-2j-4kv = 2i+2j+kPart (1) - u×v = -8i-2j-4k×2i+2j+ku×v =…

Q: Hew.u, a-Vecter S unit,tengthinthe direction_ef_the

A:

Q: Is it true that if x is orthogonal to v and w, then x is also orthogonal to v − w? Explain your…

A: Given that 'x' is orthogonal to 'v' and 'w' . This implies x,v=0and x,w=0

Q: what is the linear combination of  u⃗  and v⃗ ?

A:

Q: Q2) if the vechors Find scalev component of ū in the divection of ū +2 a) The Proj, ū c) angle…

A:

Q: Q1: The following vectors; Ā =, B = 1- Find the cross product 2- Find the angle between à and B. 3-…

A: Consider the vector, A→=1,4,-1,        B→=2,-4,6 To calculate the cross product of vector,…

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

A: Given vectors: u=2i+0j+0k and v=0i-3j+0k u×v=ijk2000-30u×v=i0×0-0×-3-j2×0-0×0+k2×-3-0×0u×v=-6k The…

Q: find the length and direction of (u x v) and (v x u) u = 21 -2j - k, v =i - k

A: Determine the cross product.…

Q: Find the length and direction (when defined) of u xv and vxu. u= - 12i + 8j – 20k, v = - 3i + 2j -…

A: To find the length and direction of u→×v→, first find the value of u→×v→ by cross product. The given…

Q: If u and v are orthogonal, what is the magnitude of u × v?

A: We define the cross product of any two vectors as :                            |u×v|=|u||v|sinθ…

Q: A fire ant, searching for hot sauce in a picnic area, goes through three displacements along level…

A: Since you have posted multiple questions. I am answering the first three sub-parts. Please post the…

Q: Find the component of u along v. u = 31 - 24j, v =j

A: component of vecor u along vector v is=u→.v→v→givenu=3i-24jv=j

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

A:

Q: Q2/ what the sine of the angle between the vector d= 3î + ĵ + 2k , b= 2î – 2j + 4k -

A: Here given vector as a=3i+j+2k, b=2i-2j+4k Thus a=32+1+22=9+1+4=14 a=22+-22+42=4+4+16=24=26

Q: Given the vector component of D(2, – 6, - 5) and G(1,2,3), find the vector of D that is parallel to…

A: Given vectors D(2, -6, -5) and G(1, 2, 3) We need to find the vector of D that is parallel to G

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: Consider the following vectors: 2 -2 and b -3 u , V 4 When b is expressed as a linear combination…

A:

Q: Find the angles that vector D 2.5 - 8.5 + k) m makes with the x-, y-, and z- axes.

A: Follow the procedure given below.

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

A:

Q: find the length and direction (when defined) ofu * v and v * u. u = 2i - 2j + 4k, v = -i + j - 2k

A: Given: The vectors, u=2i-2j+4k and v=-i+j-2k.

Q: 2. Given the figure below, find a single vector that is equivalent to C B tw b) 10 14 וד --(A-F+C) G…

A:

Q: Q2. (c) Find the unit vector u that has the same direction as v= (2, 2, -1).

A: Given; vector v=(2,2,-1)