Find, using vectors, the angles of a triangle whose vertices are points, (A (-1,0,2), В2,1,1 С (1, -2,2)).

Q: Express EC by combinations of the vectors a, b and 7.

A: We have to write EC vector in terms of a,b and c

Q: Find the area of the parallelogram that has the given vectors as adjacent sides. Use a computer…

A:

Q: How to calculate the cross products of vectors ? = {3,4,7} and ? = {4,9,2}?

A: GIVEN: Two vectors {3, 4, 7} and {4, 9, 2}

Q: Find the area of the parallelogram that has the vectors u = ⟨3, −1, 5⟩ and v = ⟨2, −4, 1⟩ as…

A: Now

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

A: The given vectors are,

Q: Find the area of the parallelogram determined by the vectors: u = (1,0,–3),v = (2,3,0)

A: By using formula  Area of parallelogram

Q: Suppose u = (2, 3) and ī = (3, 11) are two vectors that form the sides of a parallelogram. Then the…

A:

Q: For the vectors u= (-3,0,4) and v= (1,3, - 3), calculate projyu and scal, u. proj, u = OOD

A:

Q: Find the angle θ between the vectors.u = (−4, 3), v = (0, 5), ⟨u, v⟩ = 3u1v1 + u2v2

A: Now,

Q: 2 Find the angle between two vectors Ā - Hax-Gay -89z B-Gax + 10ay + Saz

A: Angle between two vectors A⇀ and B⇀ is θ=cos-1A⇀·B⇀A⇀B⇀

Q: What is the area of the parallelogram formed by the two vectors = (1,5) and = (-3,-2)?

A:

Q: What is the angle measure between the vectors u = (-5, 8) and v = (3, 9)?

A:

Q: Find the area of the parallelogram whose diagonals are represented by the vectors a =(3,-3,1) and b…

A: See this solution in below

Q: Which two vectors are perpendicular to both a and b?

A:

Q: Find the area of the parallelogram that has the given vectors as adjacent sides. Use a computer…

A: Find the solution below

Q: Order by the magnitude of the angle between the vectors with the pair with the smallest angle…

A:

Q: Order by the magnitude of the angle between the vectors with the pair with the smallest angle…

A: Angle between two vectors formula is, cosθ=a·b|a||b|

Q: Determine the angle, to the nearest degree, between the vectors= (4,6,-2) and y = (1,8,2)

A: Solution is done in step 2

Q: The angle between the two vectors 1= (-9, –4, 7) and v = (36, 16, -28) is Select one: True False

A:

Q: Find the area of the parallelogram that has the given vectors u = ⟨2, −1, 0⟩,     v = ⟨−1, 2, 0⟩ as…

A: Given vectors as adjacent sides are u=2,-1,0, v=-1,2,0.

Q: Calculate the sum of the vectors that can be drawn as a vecto from the vertices of the triangle…

A: The vertices of the triangle is A7,4,-4, B1,-1,1 and C-8,-1,3

Q: Find the area of triangle with the vectors p(0,1,4),0(-5,9,2) and R(7,2,8)

A:

Q: Find the measure of the angle between the two vectors. (-4, 5) (-6,3) ►

A: Consider the graph

Q: Find two vectors v1 and v2 whose sum is , where v1 is parallel to while v2 is perpendicular to . v1…

A:

Q: 2. The unit vector in the same direction as (-6, 12) is

A:

Q: For the vectors u = (- 3,5) and v = (- 5,2), calculate proj,u and scal,u.

A:

Q: Determine which vectors that are orthogonal to (– 3, -6)? (-4,2) and (-1,3) (-10, 5) and (-3, 6) a.…

A: To determine the vectors which are orthogonal to -3,-6. (a) Given vectors are -4,2 and -1,3. We know…

Q: Find the area of the parallelogram that has the given vectors as adjacent sides. Use a computer…

A:

Q: What is the size of the angle between the vectors a = (2, 5, -1) and b = (-3, 2, 6)?

A: Given  a = (2, 5, -1) and b = (-3, 2, 6) To find angle between two vectors:

Q: Find the area of the parallelogram that has the vectors as adjacent sides.u = (2, −1, 0), v = (−1,…

A:

Q: For the vectors u = (-5,0,3) and v= (1,4,-4), calculate projyu and scalyu. projyu = scal,u (Туре an…

A: The given vectors are u=(-5,0,3) and v=(1,4,-4)

Q: Find the area of the parallelogram whose diagonals are represented by the vectors a = (3,-3,1) and b…

A: As we know that; The expression for the area of the parallelogram with the diagonals a→ and b→.…

Q: find two unit vectors orthogonal to (5,-5,3) and (-3,5,2)

A:

Q: Suppose u = (-2,–3) and v = (2, –10) are two vectors that form the sides of a parallelogram. Then…

A: The diagonals of the parallelogram are u+v and u-v then we find the lengths of diagonal.

Q: For the vectors, u=−1,0,5 and v=1,4,−4, calculate projvu and scalvu.

A: Vector projection

Q: Find the area of a parallelogram with two sides identified by vectors from the origin to the points…

A:

Q: How do we know if two nonzero vectors are perpendicular?

A: Two non-zero vectors are perpendicular if their dot product is zero.

Q: Find a unit vector perpendicular to both (3,-2,4) and (-1,2,-3).

A:

Q: Find the area of the parallelogram that has the given vectors as adjacent sides. Use a computer…

A: use the cross product of the vect0r.

Q: Find the unit vector with same direction as  ⟨ 6, 11 ⟩

A: We find the magnitude of  ⟨ 6, 11 ⟩ first

Q: Find the angle θ between the vectors.u = (2, 3, 1), v = (−3, 2, 0)

A: Given: u=2,3,1, v=-3,2,0 we know that angle θ between two given vectors A=x1i+y1j+z1k, B=x2i+y2j+z2k…

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

A:

Q: Since A, B and C vectors are perpendicular to each other, A, B, C, =? A -6) â, 1 (8) â, + A‚⸠B 19)…

A:

Q: what Is the v product of two vectors a=C1,4)-2),

A: Which is a scalar quantity.

Q: Determine the angle between the vectors a = (4, 5, 2) and b = (-3, 6, 0)

A:

Q: Determine the angle, to the nearest degree, between the vectors = (5,3), b= (-1,–2)

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Q: What is the angle in degrees between the two vectors (2, 4. -1) and (4, 8, -2)? Note that the…

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Q: find two unit vectors orthogonal to (-1,-1,5) and (-5,-,3,3)

A:

Q: Find the angle between the vectors (2v3, 1), b = (-7, v3). а — 1. angle 6 2. angle 3 ||

A: Solve for angle

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

A: