5. A vector of magnitude 10 units and another vector of magnitude 6.0 units differ in directions by 60°. Find (a) the scalar product of the two vectors and (b) the magnitude of the vector product a x b.

Q: Vector A is 35 m long and makes an angle of 60° clockwise from the positive Y-axis. Vector B is 55m…

A: We have given a vector A of magnitude 35 m and makes angle 60∘ from the positive y-axis i.e. 30∘…

Q: Find the unit vector that has the same direction as the vector v = -i + 2j.

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Q: 1. Find a unit vector that has the same direction as the vector (-4, 2,4).

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: A If the magnitude of vector A is multiplied by 2, which of the following vectors would be the…

A:

Q: Give two vectors A=4i+3j, B=5i-2j Find its values and the direction of vector C, which is 2A-B

A: Vector addition

Q: A vector has components A₁, A₂ and 43 in a right-handed rectangu The coordinate system is rotated…

A:

Q: 2. Vector Addition and Vector Components: Vector A is 2.80 cm long and is 60° above the x-axis in…

A: We will answer the first three subparts as per our guideline. Please resubmit the other part…

Q: Compute the following cross product. Then make a sketch showing the two vectors and their cross…

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Q: Consider the following vectors. - (1.80 m)i + (3.00 m) 3 -(-4.00 m) i-(5.80 m) B: 4.50 m, at +65.0⁰…

A: Given that A= (1.80m)i+(3.00m)jB=(4.50m) at +65.000B=4.50m cos 650+4.50 sin 650B=1.90i+4.08jC=-4 i…

Q: the magnitude and direction of this vector.

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Q: Given the pair of vectors, A = (8.00î – 2.00j) and B = (-2.00î + 8.00j), use the definition of a…

A:

Q: Find a unit vector in the direction of v and in the direction opposite of v. v = (2, -6, -3) (a) In…

A:

Q: 1. Use components to find the magnitude and direction of a) Ã + B; b) Ã – B; c) B – Ã. Ã (2.80 cm)…

A: a) The magnitude of given vectors are A→=2.80cmB→=1.90cm The X and Y components of  A→ are…

Q: Find the unit vector Â, B, the dot product À. B, and state whether these 2 vectors are orthogonal,…

A: Given vectors are- A→=3,-2 and B→=2,4 To find the unit vector A^, B^ and dot product A.B Unit vector…

Q: 4. Vector A S has a magnitude of 35.0 units and points in the direction 325° counterclockwise from…

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Q: A vector A = (5.801 - 3.10) m and a vector B = (2.00f + B)m are related by a scalar quantity such…

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Q: The current in a river is pushing a boat in direction 24 degree north of east with a speed of 16…

A: Let us take the speed of river current to be V1 Let us take the speed of the wind be V2. Hence we…

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.