If the vector V=(-2,1,2)is rotated -45° along the y-axis, then the image of v is a) (-V7,1, v2) b) (-2,0.1) c) (-247,1,0) d) (0,1,-2 2) Answer B.

Q: find the angles between the vectors:x+y=1,2x+y-2z=2

A:

Q: Find a vector equation for the line through the point (-6, 4, 1) perpendicular to the vectors u =…

A: A line passes through the point -6,4,1 and perpendicular to the vectors u→=-1,-2,3 and v→=3,-8,-9 We…

Q: In Cartesian coordinates, the position vector at point (3, 40, 1) is represented by

A:

Q: Find the angle 0 between the vectors. u = (2, 2), v = (4, -4)

A:

Q: B) Find a vector perpendicular to the plane of P(1, 4, 4), Q(2, 4, 5), and R(-3, 4, 0). Which axis…

A: See the attachment

Q: Find the angle between the vectors a=(2,2,-1) and b=(5,-2,3)

A:

Q: The unit vector of the column on the plane 2x + 2z - 4y = 3 is the vector.

A: THE GIVEN QUESTION CAN SOLVED AS SHOWN IN STEP2.

Q: Find the angle between the planes whose vector equations are 7-(2i + 2)- 36) =57-(3i -3) + Sk) = 3…

A: The solution to the the given question is explained below.

Q: Find a vector that is orthogonal to the triangle with vertices P=(1,0,0), Q= (0,2,0), R=(1,1,1)

A: RECALL: Orthogonal vector:  Let us consider to vectors a→ and b→ then , cross product of a→ and b→…

Q: what is the vector equation of the line of intersection of the planes z=5 and x=9

A:

Q: Determine the resulting vector when á = (-2,4) is rotated 60° clockwise and increased in size %3D by…

A:

Q: Finally, verify that the vectors satisfy the Parallelogram Law |||² + ||||? 3. ī = (2, –1), w =…

A:

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

A:

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

A:

Q: What is the area of the parallelogram determined by the vectors v = (1, 3, 6) and w = (-1,0, 3)?

A:

Q: The vector which has length 2 and direction opposite to u?

A: We have the given vector as u=-122   We have to find a vector that has length 2 and direction…

Q: +C, vnere B 1s parallel to the vector (1, 2) C is perpendicular

A:

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: s the vector ở = (-1,–2,3) perpendicular to the plane 3x + 6y – 9z + 5 = 0? %3D

A:

Q: The vector from the origin to point A is given as 6a, – 2a, – 4a., and the unit vector directed from…

A: The vector from the origin to point A is 6ax-2ay-4az Therefore, vector A is A→=6,-2,-4 Now, the unit…

Q: Find the area of the parallelogram that has the vectors as adjacent sides.u = (3, 2, −1), v = (1, 2,…

A: Now,

Q: For which positive value of r are the vectors (14r, 2, -1), (2, –3r², –10) orthogonal?

A:

Q: The line that passes through the point (4, -2,0) and parallel to the vector (1, 2, –3) has symmetric…

A: The solution is given in the next step.

Q: What is the vector equation of the line segment that connects point P(1,−1,2) to point Q (4,1,7)?

A: Given, A line segment passes through the points P1,-1,2 and Q4,1,7 We have, the vector equation of a…

Q: Let vector AB = (2,3,1). If the coordinates of A are (2,1,5), what are the coordinates of the point…

A: Vector AB= B-A

Q: What vector has the same magnitude as the vector u = (4,-3) and points in the opposite direction?

A:

Q: What is the magnitude of the vector v with initial point P = (-4, 3) and terminat piont Q = (2, -5)…

A: A detailed solution is given below

Q: Let u =⟨2,2,1⟩which makes an angle of 30∘ with v. If the dot product of vector u and v is 6. What is…

A: Given:   To determine: The magnitude of vector v

Q: Find a unit vector perpendicular to the plane ABC if A (2,-2,1), B (3,-1,2) and C (3,-1,1)?

A:

Q: The volume of the parallel pipe formed by three vectors A, B, and C is 50 cubic units. if A(-2,6,3),…

A:

Q: Find a vector perpendicular to the plane of P(1, 4, 4), Q(2, 4, 5), and R(-3, 4, 0) Which axis on…

A: From the given points we can find two vectors and after that, using the fact that if one vector is…

Q: The vector from the origin to point A is given as 6ax – 2a, – 4az, and the unit vector directed from…

A: Given vector is A→=6,−2,−4 and B→=B23,−23,13 And B−A=10 We have to find the coordinates of the point…

Q: Find a unit vector which is perpendicular to both đ = (1, 1, 0) and b = (-2, 3, 0) Answer:

A:

Q: What is the position vector (expressed in RCS), determined by point B(2,30 deg, 3)?

A: Definition: The point A(a,b,c) has a position vector OA where a is the x-component, b is the…

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: A vector is 0.888 m long and points in a 205 degree direction. Find the y-component of the vector.

A:

Q: Find the angle θ between the vectors.u = (3, 1), v = (−2, 4)

A:

Q: To make it work two signal receivers are placed at fixed locations. The first one at origin point A…

A:

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

A:

Q: The vector (1, 0, 0) makes a 45 degrees with the vector (x, y, z). What is the relationship between…

A:

Q: The angle between vectors A = 91-j+5k and B = (-2,7,1) is.. ******

A: According to our terms and conditions,we can only solve one problem at a time. So please repost the…

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 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: Let the vectors (2,3) and (-6,4) be    Your point product is: ? The angle between the vectors is:…

A:

Q: The equation of plane through (3,-1,7) and perpendicular to the vector (4,2,-5) is 4x + 2y5z-25 = 0.…

A:

Q: Find a vector perpendicular to the plane of P(1, 4, 4), Q(2, 4, 5), and R(-3, 4, 0). Which axis on…

A:

Q: In Cartesian coordinates, the position vector at point (3, 20, 1) is represented by…

A:

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

A:

Q: Find the values of x such that the angle between the vectors ⟨2, 1, −1⟩ and ⟨1, x, 0⟩ is 45 . (Pls…

A: The angle between the vectors ⟨2, 1, −1⟩ and ⟨1, x, 0⟩ is 45 degrees. We need to find the value of x

Linear Algebra

In mathematics, problems can be solved by the arithmetic operators like addition, subtraction, multiplication, and division. In algebra, we represent the numbers by any letter called a variable. If these variables are of degree 1, then it is studied under linear algebra. The first-degree equations involving algebraic expressions are called linear equations. That is, if you represent it by drawing a graph you will get a straight line.