Insert r credit. and answer the problems. Please show all appropriate work for 13. For the three dimensional vectors a 2i + j-3k and b = i- 2j -k, find (a) a. b (b) the vector a x b (c) Are the vectors a, b are parallel, perpendicular, or neither? (d) Find the angle between the vectors a and b? (e) Find an unit vector perpendicular to both a and b? (g) Find Proj ? (f) Find Comp (h) Find the area of the triangle formed by the adjacent vectors a and b? with the x-axis ? (i) Find the direction cosine and direction angle of the vector b

Q: Which of the following properties will be used when two or more vectors are perpendicular? a. dot…

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Q: Find the angle 0 between the vectors a = (V3, –1) and b = (0,11).

A: Find angle between given vectors

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Q: Find the angle 0 between the vectors a = (v3, –1) and b = (0, 13). Answer (in radians): 0 =

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A: Given that vector 2t,1 paralle to the vector 4,-1find t

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A: We can use the concept of perpendicular vector their dot product is zero.

Q: Find the magnitude of x- and y- components of the given vectors. Sketch the vectors.   A= 29.8 m,…

A: The solution of above question is written below.

Q: Rewrite the following vectors in term of unit vectors а. ОP %3D (9, -2) b. 0Q = (7,0,8)

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

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Q: Find the positive value of m that makes the angle between the vectors equal to 5 a = i +j+k b = mi –…

A: Given that, a⇀=i^+j^+k^ b⇀=mi^-k^ Then we get, a⇀·b⇀=i^+j^+k^·mi^-k^a⇀·b⇀=m+0-1=m-1 Moreover we get,…

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: Find the angle between the vectors. (Round your answer to the nearest degree.) a =j+ k, b = i +4j -…

A: Given a=j+k b=i+4j-2k

Q: 2) A is 8.5cm long and pointed to the right (+x axis). B is 6.0cm long and pointed up and to the…

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Q: A= 5 units, E B= 10 units, N C - 12 units, 30 N of W D = 4 units, SE Activity 3-Parallelogram…

A: Given that                                                                     A→=5units, EB→=10…

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Q: Q5) Answer true or false for the followings: i) in triple dot of vectors (A x B). C = (B × A).C,…

A: Cross product of the vectors

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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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Q: If you three vectors a = i + j + k, b = 2i – j + 3k and c = i – 2j + k , find a unit vector parallel…

A: Given,          The three vectors are a→=i+j+k , b→=2i-j+3k and c→=i-2j+k.

Q: For this problem, define the vectors v = and w = . Blank 1: Compute v - w. Blank 2: Is the angle…

A: Explanation of the answer is as follows

Q: Find the angle between the vectors a =i -j+k and b=i+j-k. (Write your answer in form of decimal and…

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Q: Find (a) the dot product of the two vectors and (b) the angle between the two vectors.

A: The vectors 4i^-j^, -3i^+2j^

Q: Q3: A and B two vectors are perpendicular to the plane C: - A = 4i + 3j – k and B = 2i – 6j – 3k ,…

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Q: Given the two vectors A = 3ix + 4iy and B = 7ix – 24 iy a. What is their dot product? b. What is…

A: Given : A=3ix+4iy, B=7ix-24iy.

Q: Find the dot product for the pair of vectors. i+ 4j, 7i - j O -3 3 11 Question 13 (1 point) Listen…

A: FIND THE VECTOR DOT PRODUCT AND ANGLE BETWEEN TWO VECTORS

Q: A new landowner has a triangular piece of flat land she wishes to fence. Starting at the west…

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Q: Find (a) the dot product of the two vectors and (b) the angle between the two vectors.

A: Given: 6j, -4i

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

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Q: D. Given the vectors i = i – 2j – 2k and w = 3i – 5j + 4k, find %3D (a) the cosine of the angle…

A: topic - vectors

Q: Q3:1r the two vectors A= 31+2j+5k, and B=21- j+ 4k, they located in the x and y plane, find the…

A: To find The angle between the two vectors

Q: Find a unit vector in the plane of the vectors A = i + 2j and B = j + 2k, perpendicular to the…

A: Consider the given question,

Q: Q2/ If A=ai+bj+3k, B= 2i+3j+4k, C-i+j+6k are vectors , perpendicular to B and A is perpendicular to…

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Q: Find two unit vectors that are perpendicular to both  j + 5k  and  i − 2j + 5k.  (Enter your…

A: The given vectors are u=0i+j+5k   and  v= i-2j+5k. Compute the cross product as follows.…

Q: Find the angle between the vectors. (Round your answer to the nearest degree.) a = j + k, b = i +4j…

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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: Find the angle between the vectors i + j + 2k and 2i - j +k

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Q: 3. Find the angles between the vectors: u = 2i + j, v = i + 2j – k а. -

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Q: Find two unit vectors that are perpendicular to both j + 5k and i − 4j + 3k. (Enter your…

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Q: Consider the vectors a = 4 i+ 8 j-8k, b = 2 i +k and c = 4 j-5k. Are the vectors a and b+c…

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

A: Find the angle between vector s

Q: Q1) Sketch the vectors in a,b,c, and d using the provided figures A) a. u + v b. u + v + w C. u - v…

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Q: Find the angle between the vectors i – k and 4i + 4j -2k

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Q: Find the angle 0 between the vectors a = 8i – j– 4k and b = 2i+j- 9k. %3D

A: A vector is a mathematical concept with both magnitude and direction. It's used to describe things…

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

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