The magnitude of the resultant of vectors A and B shown below is y A +B = R B = 34.0 m 0 = 36.6° R OB = 63.0° A A = 53.0 m OA = 20.0°

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: Determine the vector of magnitude 7 that has the opposite direction of ū = -4î + 13ĵ – 16k.

A: We can find the required vector as below

Q: 4. Sketch the vector with magnitude 10 and direction 115° in standard position and calculate its…

A: We have to draw the vector with magnitude and find its components.

Q: Find the vector v with v= 6 and direction 0 =150°.

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Q: The figure shows two vectors, A and B, with A = 6.59 m, B = 2.09 m, 0 = 47°, and = 14°. Let C = B-A.…

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Q: A plane is headed true bearing [040°] at a speed of 600km/h. It encounters a wind of 55km/h blowing…

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Q: 2) Find the resultant (sum) of the vectors shown below. Express the resultant vector using its…

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Magnitude

A vector is an element with both direction and magnitude. A vector is represented using an arrow, where the arrow represents the direction of the vector and its length is represented using the magnitude. The set of vectors in space is known as vector space. The vectors can be added, subtracted, multiplied, and divided in a vector space. The image below shows a vector AB.