perpendicalar 1) A vector to both ij+3k and 21 +j + K is

Q: snip

A:

Q: A vector w has initial point (-2, 1) and terminal point (-3, 5 Write w in the form w = ai+bj.

A: follow next step

Q: The vector v = ⟨−1, 3⟩ and its Initial point: (4, 2). Find the terminal point.

A: Given: To Find: Terminal Point   Concept:

Q: 5. Determine the number of vectors (x1,...,x„), such that each x; is either 0 or 1 and i=1

A: (x1,x2,...,xn) is a vector with xi is either 1 or 0.  Now, ∑i=1nxi ≥ k implies at least k of the…

Q: 12.4 cross praduct (vector prodluct) Q, ã = 2i-3k ,b=-i+2;+5K .find coxb

A: we have to find the cross product of the given vectors

Q: A vector w has initial point (-4,-3) and terminal point (-5, 2). Write w in component form.

A: Ny using position vector formula, we calculate the required vector.

Q: A vector s has initial point (3, 4) and terminal point (5, -1). Write s in the form s = ai+bj. j

A:

Q: find the component form of vector RS with the initial point R(3,-2) and terminal point S(3,3)

A: From the given problem:   Initial point R3,-2   Terminal point S3,3   So the component form of RS→:…

Q: Are vectors v = ⟨ − 2 , − 3 ⟩ and u = ⟨ 6 , − 4 ⟩ orthogonal? Yes or No:

A:

Q: What are the conditions for a set of vectors {ai , i ∈ [1, N]} to form a basis for an N dimensional…

A:

Q: 4. Find an initial point P of a nonzero vector u = PQ with terminal point Q(3,0,–5) and such that u…

A:

Q: (a) Are the vectors (1,3, 2), (2, 1,3) and (3, 2, 1) linearly independent? (b) Are the vectors (1,…

A: We have to check

Q: 3. Give two nonparallel vectors that are both orthogonal to (0, 5, 0).

A: Given A = (0,5,0) Let other two vectors be of type B = (a,b,c) A.B = a.0+b.5+c.0 A.B = 5b For…

Q: PQ Vector (3,1, 4) and terminal point (5,-1,3) 3) (Section 9.6) has initial point then || P|| %3D

A:

Q: 9. * (2 Points) A vector orthogonal to the plane through the points (-1,0,0), (0, –2,-2), (2, 3, 4)…

A:

Q: 2. Express the vector with initial point (1,-1) and terminal point (4,2) as a linear combination of…

A: position vectors

Q: Let vector u= 3,4 and vector v= 6,7. Find the magnitude of 3u-4v

A: The vectors are given by u = 3,4 v = 6,7 To evaluate : The magnitude of 3u-4v

Q: If a vector u is orthogonal to vectors x and y then u is orthogonal to the vector x + y. :Select one…

A:

Q: 2) How many different vectors are drawn here? -/

A: 3 vectors are same which has same direction and magnitude and other 2 vectors are same in direction…

Q: 19. Find two unit vectors perpendicular to vector u= (7, 0, -1) and vector v = (1, -1, 1).

A: We have to find the unit vector

Q: 6) a) Express the vector (8,0,5) as linear combinations of u (1,2,3), v = (2,-1,1), and w (0,1,4)

A:

Q: 1 Let u1 = 3 U2 = -1 , Uz = ,X = then write x as sum of two vectors -3 3 on in span {u1} and other…

A: Given, u1=1101 u2=-13-1-2 u3 = 101-1 x=1-1-33

Q: If a vector u is orthogonal to vectors x and y then u is orthogonal to the vector x+ y. :Select one…

A:

Q: Find the component form and length of the vector v that has initial point (3, −7) and terminal point…

A: Given: Initial point (3,-7) and terminal point (-2,5).

Q: The terminal point of the vector v = 3i +5j – 4k with initial point (2, –1, 4) is

A: Follow next step

Q: Find the length of the vector.v = (5, −3, −4)

A:

Q: Find a vector orthogonal to both and

A: Given query is to find the vector orthogonal to the given vectors.

Q: 1. The components of the vector, initial point P(-3, 4, 1) and terminal point Q(-5, 2, 2).

A:

Q: 9. Find a unit vector perpendicular to both [1,2,-3] and [2, -1, 4].

A: Given a=i+2j-3k b=2i-j+4k Aim : to find unit vector perpendicular to a and b

Q: 5. [6.1] If vector ā reaches from the origin to point (5, –7), determine the magnitude of ā.

A:

Q: 6. Find the angel between two vectors ī= (-1, –1,2) and w= (2,3, –2). %3D

A:

Q: A vector orthogonal to the plane through the points (-1,0,0), (0, 1, –-2), (2, 3, 4) is O O O O

A: I have append the formula in solution part

Q: The terminal point of the vector v = i +2j +3k with initial point (4, 2, –3) is

A:

Q: 9. Write the vector as a linear combination of the standard unit vectors i and j. Initial Point…

A:

Q: 1. The vector in the opposite direction to u = (-1,0) and of half its length is 2. The vector of…

A: 1.The vector is u=<-1,0>2.The vector is v=<-4,5,-3>

Q: a' and b Expess the Vector paduct in from of de terminant: 2 = (2, a, as) 5= of where , (6, b, bs)…

A:

Q: A vector orthogonal to the plane through the points (-1,0,0), (0,0, –2), (2,3, 4) is О О O 6,-10, 3>…

A: Let, Given vectors are P(-1,0,0), Q(0,0,-2) and R(2,3,4). We have to find non zero vector orthogonal…

Q: A vector u has initial point (3,-6) and terminal point (4, -2). Write u in the form u = ai+bj. u =

A:

Q: b) Express the vector (–1,5, –6) in R³as a linear combination of (2,0, 7), (2,4, 5) and(2, –12,13).

A:

Q: 3. What is the initial point of vector w if the component form is and the terminal point is (4, 1)?

A:

Q: Find the largest possible number of independent vectors among 、H-E~目 V1 = V2 = V3 Find any…

A:

Q: Find the length of the vector. v = (5, 0, 3, -2) %3D ||v|| = %3D

A:

Q: A vector orthogonal to the plane through the points (-1,0,0), (0, – 1, –2), (2, 3, 4) is O O O O

A:

Q: Express the vector v with initial point P and terminal point Q in component form. P(−8, −7),…

A: Given two points

Q: Example 2: Find the unit vector in the direction of v = (-1,3,4) and verify that this vector has…

A:

Q: 1. Find the length of a vector || u +v || u= ( 1,2,1) V= v3D(0,2,2)

A:

Q: 9. Determine if the vectors å = [-1, 2, 1], b = [-2,4, 2], and ở = [12,8, 1] are coplanar. %3D

A: given vectors a=[-1,2,1] b=[-2,4,2] c=[12,8,1]

Q: 6. Find a unit vector that is orthogonal to both [0, 1, 1] and [1,0, 1].

A: We will find the unit vector orthogonal to both the vectors as following.

Q: ind a vector orthogonal to both u and j+k. u=2i-j+3k

A: we have been given two vectors,  u = j+k. v=2i-j+3k   the unit vector that is orthogonal to both…

Q: A vector orthogonal to the plane through the points (-1,0,0), (0, –1,-2), (2,3, 4) is O O O O

A: