7. For the vector product of the vectors, which one of the following is correct ixj = 0 ; ixk = 1 ; kxj= o ixi = 0 ; kxk= 0; jxj=0 ixj =0 ; ixk = 0 ; kxj= 0 ixj =1 ; ixk = 1 ; kxj=1 A B D 8. The vector A and its negative vector have Same magnitude and direction Same magnitude and opposite direction Same magnitude only Same direction only D ABC

Q: 1.67 Determine the orthogonal component of C = r x F in the direction of the 100j + 500k N, and unit…

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Q: B 17.4 8. Two vectors are presented by the diagram. What is the direction and magnitude of the cross…

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Q: Two vectors are given by a = 2.07 + 5.0j and b = 3.0i + 9.0j. Find (a) a x b", (b) a. b", (c) (a* +…

A: Given:a = 2.0 i^ + 5.0 j^ ................eq(1)b = 3.0 i^ + 9.0 j^ ................eq(2)

Q: Determine the angles made by the vector V = (16)i + (14)j with the positive x- and y-axes. Write the…

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Q: d) For the vectors A=2.00 î - 4.00 ĵ - 3.00 k and B = 5.00 ĵ - 4.00 k find the vector product À X B

A: Write the given values with suitable variables. A→=2i^-4j^-3k^B→=5j^-4k^

Q: Two vectors A and B are given by A=4i+8j B= 6i-2j find their scalar product A.B .find cosine of the…

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Q: Question 23 What is the resultant vector of the following vectors: C= 10m, 50 degrees E of S D= 20…

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Q: Let us name three perpendicular directions as right, up, and toward you as you might name them when…

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Q: Demonstrate the sides of the triangle in terms of vector. Please refer to the given.    Given:…

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Q: if we have two vector ( A ) and ( B ) A = 4i-3j+k , B=-i+j+4k 4- find the angle…

A: Given: A→=4i^-3j^+k^ B→=-i^+j^+4k^

Q: 1- Find a. v.u, v|,|u| b. the angle between v and u c. the scalar component of u in the direction of…

A: 1. The given vectors are, v→=35i^+45k^u→=5i^+12j^ (a) The dot product of two vectors is calculated…

Q: Two vectors have the following magnitude, A = 9.7 m and B = 14.6 m. Their vector product is: AXB =…

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Q: 22. In vector addition, when the final point of a vector ends in an initial point of another vector,…

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Q: 1.47 • The vector product of vectors A and B has magnitude 16.0 m² and is in the +z-direction. If…

A: We need to know that the vector product of two unit vectors gives us a resultant unit vector that is…

Q: Find the angle between each of the following pairs of vectors (round up your answer to the nearest…

A: a) The required angle between the vectors is,

Q: / The vectors A and B are given by A=-2î –3j and B = i -2j. nd 1.AxB and verify thatAxB =-BxÃ. 2.…

A: Given values:- A→=-2i^-3j^ ----(1) B→=i^-2j^ ----(2) (1) Let (R→) be the resultant value of A→×B→…

Q: Michael wants to demonstrate the sides of the triangle in terms of vectors. Given: AB= | (A x B dot…

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Q: The vector product of vectors A and B is maximum, therefore * O O vectors A and B are parallel in…

A: Given: The two vectors are A and B. To find: The condtion for the maximum vector product.

Q: (H.W) If a person walk 1km north, 5km west, 3km south, an 7km east, find the resultant displacement…

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Q: Find the angle between vector a and b if a 21 +j- k and b 3i - 6j + 2k

A: a→ = 2i^ + j^ - k^b→ = 3i^ - 6j^ + 2k^

Q: 6. u = 4i – j+3k v = 2i + j+k w = -i+5j+3k r = ai + ßj+ yk Evaluate the scalar products u.v and v.w.…

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Q: 1. Given the vectors M = -10ax + 4ay - 8az and N = 8ax + 7ay – 2az , find: a) a unit vector in the…

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Q: The components of vector A'are given as follows: Ax = 5.6 Ay = -4.7. What is the angle between…

A: 1) We have components of vector A, Ax=5.6 and Ay=-4.7. We need to find angle b/w A and x-axis. 2)…

Q: The answers of the following (i) scalar product and (ii) vector product of unit vectors is (i)…

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Q: •9 Two vectors are given by d = (4.0 m)i – (3.0 m)j + (1.0 m)& 6 = (-1,0 m)i + (1.0 m)j + (4.0 m)k.…

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Q: If the magnitude of the vector product of two vectors a and b are are equal to 0, then what do we…

A: Given  Two vectors are a and b  The magnitude of vector product of these two vector is zero.  a × b…

Q: Vector Å has magnitude of 6 units and is in the direction of the +x-axis. Vector B has a magnitude…

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Q: 8 units. If the angle Consider the two vectors A = 5 units and B between the two vectors is 37°,…

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Q: 1.45 • Find the angle between each of these pairs of vectors: (a) Ả = -2.00î + 6.00oĵ and B = 2.00î…

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Q: or the two vectors and in the given figure, (a) find the scalar product. (b) find th lirection of…

A: A vector can be written as  A̅ = Ax î + Ay ĵ  Ax = A Cosθ  Ay = A Sinθ

Q: 2. a) Write each vector in terms of unit vectors. b) Use unit vectors to express the vector č, where…

A: We are allowed to give the explanation of first three subparts of a question only which is given…

Q: What is the direction of the vector r= -6.7i - 5.0j? where i and j represent the x-and y- unit…

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Q: Vector C has magnitude 6.50 and is at an angle of 55.0° measured counterclockwise from the +x-axis…

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Q: 4. Which of the following properties of a cross product is FALSE? C, D, and E are vectors. I. C x D…

A: 1. The Cross product of three vectors is    A×B =ab sinθ nhere,n is the unit vectorA,B are vecotors.…

Q: 8) A vector ä of magnitude 10.0 units and another vector b of magnitude 6.00 units differ in…

A: Given data:  a = 10.0 units b = 6.00 units Angle between vector a and b (θ) = 60.0°

Q: Find the vector product A × B (expressed in unit vectors) of the two vectors given . What is the…

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Q: 3. Given the vectors A = - 5i - 3j - 8k B = 4i - 2j + 3k ; C = 10i - 12j - 8k а. Find A х В. b.…

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Q: 1.47 •• The vector product of vectors Á and B has magnitude 16.0 m² and is in the +z-direction. If…

A: Given value--- A × B = 16 m2 , + z direction.  A = 8 m , -x direction.  B = has no x component.…

Q: 2 • Find the angle between each of the following pairs of vectors: (a) A = -2.00î + 6.00ĵ and B =…

A: Given data The vector equation for vector A is given as A→=-2i^+6j^. The vector equation for vector…

Q: 6. If vector A = i+ 2j+ 3k, and vector B = i+2k. The product A.Bequals A) C) B) D) 8. i+ 2j i- 2j

A: In the given question given that two vectors A and B. Then We have to determine the value of dot…

Q: Part A Constants Find the angle between each of the following pairs of vectors Ar1-1.00, Ay 6.20, B…

A: We can find the angle between any two vectors by using the following formula:

Q: 1. Find the x-component of this vector:  C =  300 N, 50 deg W of S 2. Write this vector in scalar…

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Q: Given the vectors i =(- 3, 7, 4] and y = [- 6, 0, 8], determine b) proj š. a) The angle between i…

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Q: The vector product of vectors A = 4i + 6j + 8k and B = 6i + 8j – 10k where i, j and k are unit…

A: A→ = 4i^ + 6j^ + 8k^B→ = 6i^ + 8j^ - 10k^ the resultant vector of A and B is the sum of vectors A…

Q: What is the angle between the following vectors? A=-2î + 3) B = 31 - 4)

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Q: Find the angle between two vectors A and B given by : A=6i +4f +2k and vector B=3f -5f-3k

A: Here given two vectors A and  B. Given A= 6i+4j+2k and B= 3i-5j-3k We have to find the angle…

Q: Which of the following statements about the vector product is or are true? I) The resulting vector…

A: Answer:) option (a) i and iii Explanation:)

Q: 2. a) Write each vector in terms of unit vectors. b) Use unit vectors to express the vector ( Č=…

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Q: Is the dot product of two vectors u and v is another vector represented by: u* v=₁V₁, U2 V2, Uz Vz,…

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Q: (a.00m)-(. Here are two vectors: - 4.00 m and b = (6.00 m + (8.00 m What are å + b ; (g) the…

A: As per our guidelines, we are supposed to answer only first three subparts in case of multiple…

Q: 4. Four vectors A, B, C, and D, all have the same magnitude. The angle between adjacent vectors is…

A: Let the magnitude of each vector = Y A→ = Yj^B→ = Y× (cos45oi^ + sin45oj^)B→ = 0.7Y i^ + 0.7Y j^C→ =…