1. Given the square-based prism shown where AB 3 cm and AE 8 cm. E (i) Determine the G magnitude of the Vectors EC and HB Is vector EC equal to HB ? Explain. (ii) List all the equal vectors of HG (iii) Express EF +BD +CF as a single vector A D B

Q: Determine the angle between the given vectors. (а) а — 3і — 2ј, b %3 2i + 2j

A: a→=3i - 2jb→=2i + 2j

Q: in O, the points A and B have position vectors a and b such that a = i point C has position vector c…

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Q: Find the angle between the following pair of vectors. a = (-8, -7,2) and b =(4,-5,-4) a.b cos(8) =…

A: The given problem is to find the dot product of the given vectors and angle between the given…

Q: For three vectors, find the magnitude and direction of the vector  D= A - B+3C. A of length 6.4 and…

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Q: Vector A is 3 units long at 25° and vector B is 3.5 units long at 105°. Draw the two vectors in a…

A: (a)     The graph of the two vectors in a coordinate system:

Q: 1. Let ā=ī-2j+k, b = i +4j-5k, c = 5i + j - 2k & d = -2ī-j+k. Answer each of the following: Sketch…

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Q: Given the Vectors a = 5i - 8j and b = -16i +11j what do we know about the vectors

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Q: 3. Find a unit vector in the direction of v. V = 20i – 21j

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Q: Resolve the (a) a has a magnitude of 16 units and makes an angle of 48° to the positive (b) b has a…

A: A vector space is a set whose elements, often called vectors, may be added together and multiplied…

Q: Find the angle between vectors: a = 51-4j+2k and, b= 41+3)+2√5k

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Q: ren vector A = -3î + 4j and B = i + 2j. Find vector V where magnitude is 3 and the vector is allel…

A: Parallel vector and magnitude is 3

Q: 3. Given two vectors below, evaluate the magnitude and direction of R= -4A - 28 3 4 3x -2+

A: from the graph vector A = -3i - 3j vector B = -2i + 4j

Q: Write v as the sum of two vector components if v = -5i + 6j and w = 3i+ 4j

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Q: Express the vector as a product of its length and direction. 21+4j+4k O A. 6 OB. 6 18 + gi+? OC.…

A: The given vector is  2i + 4j + 4k we have to express vector as a product of its length and…

Q: Find C, the length of C, which is the sum of A and B.(Figure 2) Express your answer in terms of A,…

A: Consider length of vectors A, B and C is A, B and C.By linear pair  θ +c =180° c= 180- θ

Q: 3. Find the magnitude, ||||, of each of the following vectors: a. = -51 + 12j b. = -i- j

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Q: 1. Given vectors =, (a) Find the dot product of the given vectors. (b) Find 7, 71 (c) Find the…

A: As per our guidelines we are supposed to answer only 3 subparts of a question, please repost the…

Q: Starting from home at the origin O. a rhino travels for 9.1 km in the direction 60° North of East to…

A: We will use  components along x-axis and y-axis to represent all vectors