Express the vector P, P, in the form v = v,i+ v2j + v3k if P, is the point (- 8,6, – 2) and P2 is the point (6,3, – 9). ... P,P2 = (D+ (D+ (OK (Simplify your answers.)

Q: For the pair of vectors, find U + V, UV, and 3U - 4V. U = (-7, 0), V = (0,5) U + V = U-V= 3U - 4V =

A:

Q: Express the given vector in terms of the unit vectors i, j, and k. (2, -5, 0)

A:

Q: Determine a vector equation for the line that is perpendicular to 7 = (4, 1) + s(−3, 2), sER, and…

A: We need to find the equation of line perpendicular to r→=(4, 1)+s(-3, 2),  s∈ℝ and passing through…

Q: Find a unit vector in the direction of the given vector. v=(-6,6)

A:

Q: For the vector a,b,c ∈ IR3 a+b+c=0 and ===1 then ?

A: We will first assume a=(a_1,a_2,a_3),b=(b_1,b_2,b_3) and c=(c_1,c_2,c_3).Now will will use…

Q: Find the distance of point A(2-3,2) from the line that passes through the origin and parallel to the…

A:

Q: Given initial point P1 = (-2, 3) and terminal point P2 = (6, 5), write the vector v in terms of i…

A:

Q: Find the component form of the resultant vector. 1) u =(-11, 2) b=(10,-4) Find: -u - b

A: As per guidelines, we'll solve only one question if multiple questions are asked. If you need any…

Q: find the component form of the vector. The sum of AB and CD, where A = (1, -1), B = (2, 0), C = (-1,…

A: Given that A = (1, -1), B = (2, 0), C = (-1, 3), and D = (-2, 2)We have to find AB + CD.

Q: Find the requested vector in R2 where A = (-3, 6), B = (8, –6) and C = (7,4). -2AB + 7CB = help…

A:

Q: Find the vectors T, N, and B at the given point. r(t) = re) - (2. 20,0). (1, - 3 -1) T = N = B =

A: Here we have to find,  Unit tangent vector T→(t)=? Unit normal vector N→(t)=? Unit Binormal vector…

Q: The unit vector in the direction of u = (2, 3) is A. (-,1) В. (3, —2) 2 3 V5' V5 3 D. (- V13 2 V13 O…

A: We a given a vector u=(2,3) We are asked to find out unit vector in direction of  vector u=(2,3)

Q: Two vectors (M = 4ax-bay) and (N = 6ax-2ay-Saz), find the vector perpendicular to these vectors?

A: Given Vectors are                                                 M=4ax-6ayN=6ax-2ay-5az vector…

Q: If u =(3, 3), v=( 13. -7), and 2w +3u-v= (4,-4) then what is the coordinate of vector w?

A: Since u=(3,3), we have u→=3i→+3j→ Also, since v=(13,-7), we have v→=13i→-7j→ Let w=xi→+yj→ Given…

Q: Express the vector as a product of its length and direction. 6j - 8k 100- 10(j - k) 3 10 j O 10(6j -…

A: We have to find out the vector

Q: Consider the points A (10, 9) and B (0, – 7). Find the vector AB. АВ

A:

Q: Assume that the vectors a, b, c, and d are defined as follows: а - (2, 3) ь - (7, 4) с- (6, -5) d -…

A:

Q: Find the magnitude of the vector AB A=(4, 1) and B=(-3,0)

A: Given that, A = (4, 1) B = (-3, 0) We have to find the magnitude of the vector AB.

Q: The vector v has initial position P and terminal pet P (2, 5); Q=D (-5,-1) v 7i+ 6j Ov- 6i+ 7j…

A: Let's Solve, Answer: Option D

Q: 3. For the vectors d = (2,11, -3) and 7 = (-7,0, –1), find proj, d.

A:

Q: Find the components of the vector ī, with |u| = 7.8 and 0 = 21.3°.

A: Given: To Find:  The components of given vector  Formula Used: The components of vector v with…

Q: Match the vectors p, q, 7, s, and t with one of the combinations of the u and i vectors from the…

A: Since you have asked a question with multiple parts in a single request we would be answering only…

Q: = Find the vector equation for the line passing through the points P₁ P₂ = (2,7-13). (5,-1,-5) and

A: The given points are;  P1=(5,-1,-5) and P2=(2,7,-13).

Q: Find a unit vector in the direction of, a) й3 (-4,-3) b) й 3 (12, -5)

A: We have to find

Q: photo attached

A: Given,

Q: Given vector U= ⟨3,1⟩ and V=⟨-4,3⟩, find a linear combination of the vectors u and v of the form aU…

A: Solving simply equations and find the value of a and b by compairing both side of vector

Q: Q3/ Let å = (2,1, -4) and b = (3,-2,5) be two vectors. Find a vector that perpendicular to both å…

A: Q3/ The given vectors are a⇀=2,1,-4 and b⇀=3,-2,5

Q: Find the vector v and illustrate the specified vector operations geometrically, where u = (−2, 3)…

A: We need to find vector v for which  If, u = (−2, 3) and w = (−3, −2)

Q: Draw the vectors in standard position in R2 with their tails at the point (2, -3).

A:

Q: Find the position vector for the vector v, whose initial point is (0, −2) and terminal point is (5,…

A:

Q: Find the magnitude of the resultant vector. (-25.6, 7.7)- (-11, -9.8) 1R

A: letA→=-25.6, 7.7 and B→=-11,-9.8

Q: Find the vector v, where u = (-1, 3) and w = :(-3, -1). v = u + 2w Illustrate the specified vector…

A:

Q: Find u+v,u-v, and 2u-5v. Then sketch each resultant vector. U=(4,1), v=(1,5) A) u+v=? B) u-v= ?…

A: First write a the point in vector form then simply add as a vector form.. Then change it to point…

Q: Find 2u, -3v, u + v, and 3u - 4v for the given vectors u and v. u- 31, v- 2i - 9j 2u - -3v - 3u - 4v…

A:

Q: For what values of a and B will the vector (a, 1, B) be orthogonal to (4, 0, 3) and (-1, 1, 2)? a =…

A:

Q: Find the component of V, |V|= V5 in the direction of a vector from A(0,0, 4) to B(2,5, 0).

A: The vector joining the points A0,0,4 to B2,5,0 is given by, AB→=2-0i^+5-0j^+0-4k^=2i^+5j^-4k^ The…

Q: a) A vector equation of a line that goes through the points P(1, -3, 2) and Q(9, 2, 0)

A: As per Bartleby guidelines, if multiple questions asked at a time and specific question is not…

Q: Given that P1 is the initial point and P2 is the terminal point of the vector, represent the vector…

A: Use vector concept

Q: Given vector A = 2а, + ба, За, and vector - B = – 3a, – 4a, – 5a,. Simplify the given mathematical…

A:

Q: Find the vector equation of a line ?L going through the points (4,−2)(4,−2) and (4,−3)(4,−3).

A: given information : r0=(4,-2)r1=(4,-3)equation of line=r0+t(r1-r0)

Q: Express the given vector in terms of the unit vectors i, j, and k. (14, 0, 4)

A: Given,  Vector < 14, 0, 4>

Q: Find the distance of point A(2/3,2) from the line that passes through the origin and parallel to the…

A:

Q: Find the component form of the specified vector. The vector PQ , where P = (3, 3) and Q = (-6, -4) O…

A:

Q: Find the component form of the vector PQ, where P= (3,3) and Q = (5, - 8). The component form of PQ…

A:

Q: Determine if the vectors t= %3D(-16, 24) and s= (3, 2). are orthogonal, parallel, or neither.

A: We have to calculate dot product and magnitude of the given vectors

Q: Find a unit vector u in the direction opposite of v = (2,8,-3).

A: Solution ) v =  { 2 , 8 , -3 }   vector with same magnitude and opposite direction   = { -2 , -8 , 3…

Q: Express the following vector in the form v = v, i+vzj + V3k. P,P, if P, is the point (- 3,3,0) and…

A: Given that P1(-3,3,0) and P2=(-3,-1,1) To express in the vector form.

Q: Express the vector P,P, in the form v = v, i+v2j+ V3k if P, is the point (- 9,0,0) and P2 V =V, is…

A: