Use the given vectors to answer the following questions <0, 3, 1> <0,0, –2>. (a) Find the sum of the vectors. (b) Illustrate geometrically. (Do this on paper and drop the image into dropbox.)

Q: Find the unit vector in the direction of &lt;4,2&gt;

A:

Q: Find the unit vector in the direction of .

A: Given points are: P1≡32,72P2≡82,22 Then we get, P2-P1=82-32,22-72⇒P2-P1=52,-52

Q: For what values of b are the vectors and orthogonal?

A:

Q: Compute the indicated vectors and also show how the results can be obtained geometrically. b-c

A: Given: b=23, c=-23

Q: Write the following vector as a linear combination of the unit vectors i and j. (-4,Radical 2)

A: We need to the following vector as a linear combination of the unit vectors i and j

Q: Find a unit vector in the direction of the given vector: 4 Soloc

A: Given vector: -442 Since, we know that unit vector in the director of vector xyz is defined as…

Q: Find in terms of i and j the following vectors :

A:

Q: Find the magnitude of each of the following vectors.     (0,5)

A: If v=ai+bj=a,b is any vector then magnitude of v is v=a2+b2

Q: If vectors have the same magnitude and direction, then they are_____.

A: We have to fill in the blanks: If vectors have the same magnitude and direction, then they are…

Q: When analyzing the vector To the sum of two vectors, the first is parallel to the vector A = 2i-i+3k…

A: There is no specific formula.Please go through the solution.

Q: Find the angle a between the vectors -5 and

A:

Q: On the diagram to the right, what are the components of the resultant of the three vectors shown? *…

A: We have three vectors, two of them are in horizontal direction, 6 N is -x direction and  14 N in +x…

Q: [:] [] Find c so that the vectors and are parallel.

A: Find c so that the vectors c4 and 25  are parallel. Let u=c4 and v= 25 be two vectors. Two vectors…

Q: Find the angle between two vectors, 6 and 8 units long, when their resultant is (a) 10 units long…

A: Given: The angle between two vectors, 6 and 8 units long

Q: In Problem ,use the vectors in the figure at the right to graph each of the following vectors. u - v

A: Given :                     graph the vector :  u - v

Q: A unit vector in the direction of the given vector is

A:

Q: Find the magnitude of the given vector. (2, 6, –2)

A:

Q: Find the cosine of the angle between the vectors P1 (x) = 1 + 2x – x² and p2 (x) = 2 – 3x – 2x² with…

A: We have to solve given problem:

Q: Find a vector of magnitude 10 in the direction of v = 3i − 4k

A:

Q: Sketch the following vectors, and find their components andlengths: i + j + k

A: The vector is i+j+k sketch the vector and find its length.

Q: Find the angle a between the vectors and -3

A: The question is from the topic of vector algebra

Q: what if it was the same vector, but 5y^2j?

A:

Q: Find the Unit Vector for the given vector ,

A: The given vector is -5,12

Q: In the accompanying figure, it looks as if v1 + v2 and v1 - v2 are orthogonal. Is this mere…

A: Given figure shown below.

Q: Which of the following vectors are parallel :

A: Two vectors are parallel if one can written as linear combination of other.  As showing in the hand…

Q: 2. Consider the two vectors a and b, as graphed below. 2a Plot the result of a +b on the same axes.…

A:

Q: Which of the following vectors represents - 2u + v?

A: Given,

Q: Find the following for the vectors

A: Given that: v=-9i+ju=-5i+7j     NOTE: As per our answering guidelines, we can only answer 1 question…

Q: If u and v are vectors in Rn, what is the relationship between uTv and vTu? Are they equal? Justify…

A:

Q: Find the angle between the given vectors to the nearest tenth of a degree.u = &lt;2, -4&gt;, v =…

A:

Q: Find the angle (in degrees) between the vectors u = and v =. Round to one decimal place.

A:

Q: Find the angle between the vectors ā = and b = . [Nearest degrees]

A:

Q: Find the magnitude of each of the following vectors.     (-7,0)

A: We have to find the magnitude of the vector: -7, 0 We know that if we have vector represented as a,…

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

A:

Q: Try plotting Three Vectors and show the Resultant Vector as a result. Use Head to Tail Method.

A:

Q: Find the angle in degree between the two vectors as indicated in the rectangular box of dimension…

A: The dimension of the given box is 1×2×3.

Q: A ball is thrown at an angle of 60° to the ground. If the ball lands 90 meters away. What was the…

A: The ball is thrown at an angle of  to the ground. So, the initial velocity of ball has both…

Q: Find the angle a between the vectors 日- 2 and a =

A:

Q: Find the magnitude of the following vector. (-1, 2)

A: Given&lt;-1 , 2&gt;

Q: За. й —; й —

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: If two vectors have the same magnitude, then they are equal.

A:

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

A:

Q: 1. Find the angle between two vectors ā and 5 with magnitudes 3 and 2, respectively having ā-5 = J6…

A: Given,            Magnitude of a→ and b→ are 3 and 2 and their dot product is a→·b→=6.To find : The…

Q: Find the vectors T, N, and B at the given point.

A: Given vector and a point To find tangent vector T(t) use formula

Q: Find the angle a between the vectors L3] and]

A: Find the angle between vector s

Coordinate Geometry

Coordinate geometry, also known as analytic geometry or Cartesian geometry in classical mathematics, is a type of geometry that is studied using a coordinate system. Coordinate geometry is a branch of mathematics that describes the position of points on a plane using an ordered pair of numbers called coordinates.