Find the area of the triangle determined by the points P, Q, and R. Find a unit vector perpendicular to plane PQR. P(1, – 1,0), Q(0,0, – 1), R(0,0,1) The area of the triangle isO. (Type an exact answer, using radicals as needed.) Choose the unit vector perpendicular to plane PQR. O A. 3,/19 (11 + 7j + k) O B. OC. E(1+2) - k) OD. (21 +j+k)

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Q: For v = 2i – j, b = 3i + 4j a. Find the vector component of v along b and the vector component of v…

A: For finding the vector component and orthogonal projection use the dot product.

Q: Find the area of the triangle determined by the points P, Q, and R. Find a unit vector perpendicular…

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Q: For what value of t , if any, is the vector ( 2t, -1) parallel to the vector (4, -1) t = 2 OA t=8…

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A: Given,          W=-4i-43j    , 0°≤θ&lt;360°

Q: Find the area of the triangle determined by the points P, Q, and R. Find a unit vector perpendicular…

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A: given point A 23 ,2 and line passes through orgin and parallel to the vector v =&lt;1,3&gt;

Q: A) Knowing that A" = 2i+mj+k & B¯ =5i + j+4k are perpendicular vectors. Find the %3D value of m then…

A: w​e know that, for perpendicular vectors, cross product is zero. because A.B = ABcos(theta) so from…

Q: Q.3 Find the cosine of the angle between the vectors: a = 2i-8j + 3k b= 4j+ 3k b= -j-2k b= 2i + 4j-k…

A: The given question is related to vectors. The solution is explained below.

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Q: Given that b = -3î + (4 + m)ĵ – k ,č = -9î + 12j – (3+ m)k , ,Q = (5+ m, 4,0 + m) and P = (-1,4 + m,…

A: Given that b→=-3i^+4+mj^-k^c→=-9i^+12j^-3+mk^Q=5+m, 4, 0+m and P=-1, 4+m, -3

Q: b) Consider the vectors a = 2i + 2j + k and b = xi + j – k. Find the value of x for which the angle…

A: Given: a→=2i+2j+k, b→=xi+j-k We know that angleθ between two vectorsa→=x1i+y1j+z1k, b→=x2i+y2j+z2k…

Q: (iii) Find the angle between the vectors. a = 8i – j+ 4k, b= 4j+ 2k (iv) Find the volume of the…

A: Given a=8i-j+4k, b=4j+2kTo find angle between two vectors:

Q: Q.3 Find the cosine of the angle between the vectors: (i) a 2i-8j+3k b= 4j + 3k

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Q: li) Find the angle between the vectors p i--k and q 21 +j+2k. Iv) Find the unit vector perpendicular…

A: Thanks for the question :)And your upvote will be really appreciable ;)

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Q: Given the vector u = (6, - 6), find the magnitude and angle in which the vector points (measured…

A: u = (6,-6)   Magnitude of u = ||u|| = √(36+36) = 6√2

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Q: a) Find a vector that is perpendicular to both w = ỉ – 3+ 3k and i =7+23.

A: As per our guidelines, we can answer only one question. So, here I am answering for a) please repost…

Q: Q2/ A) Knowing that A = 2i+mj+k & B¯ =5i + j+4k are perpendicular vectors. Find the value of m then…

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Q: Q2: Find the angle between the vectors à and b where a = i+ 2j – k and b = -i+j-2k.

A: The angle between two vectors A→ and B→ is calculated as, cosθ=A→.B→AB The given vectors are,…

Q: c) Find a vector, AB , with magnitude 4 in the direction of PQ where P and Q have coordinate (5,0,8)…

A: Find a vector, AB, with magnitude 4 in the direction of PQ where P and Q have coordinate (5, 0,8)…

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Q: Q2: Find the angle between the two vectors A = 5i - j+ 2k and B = -3i + 2j + k

A: Angle between the vector u and v is θ=cos-1u.vu.v.

Q: For what value of t, if any, is the vector ( 2t, -1) parallel to the vector (4, -1) ? 1 t = 4 OA. t=…

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Q: A. By using the dot product, find the angle between the vectors u = 4i – 4j + 2k , v = 6i + 8k Eind…

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Q: 4Q Find the dot product and cross product of following vectors i a= 2i+j a= b=I-j+k b= 11. 111. a=į…

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Q: Q3. Prove that (only one): a-dy is a unit vector? a- %3! b- L = 6a, - 3a, + 2a, and M = 3a, + 2a, -…

A: Topic- Vector

Q: B) Find the angle between the vectors V, = i - k, V = 2i – j+ k

A: The given vectors are v1⇀=i-k and v2⇀=2i-j+k

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A: According to our company policy, we are supposed to answer only first three parts of the question.…

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A: Use formula of area in vector form to calculate

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A: topic - vectors

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A: Given that P and Q have coordinate (5, 0, 8) and (3, 3, 2) respectively.

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Q: Find the angles that vector D 2.5 - 8.5 + k) m makes with the x-, y-, and z- axes.

A: Follow the procedure given below.

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Q: Q5. Find the angle between the vectors u=2i+j, v=i+2j-k. And uxv

A: Please see the below picture for detailed solution.

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.