The figure shows a potted plant acted on by four forces. Evaluate the vector product between forces 2 and 3 if 0 = 68°, 4 = 140°, F₁ = 12 N, F₂ = 18 N, F₂ = 11 N, and F4 = 19 N. For the direction, indicate a vector product out of the screen as positive and a vector product into the screen as negative. F F₂ F₁

Q: If A = 4a, - 6a, + a, and B = 2a, + 5a,, find: (a) A B +2|B (b) a unit vector perpendicular to both…

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A: We will find out the required values.

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Q: Suppose only F acts on the object and with this force only, the object experiences a displacement…

A: Introduction: When a force is acted upon an object, there is a displacement. The dot product of the…

Q: Which of the following pairs of vectors are perpendicular? -/2 > and O A | -12 > and OB. - 2/2 >…

A: We need to find the pair of vectors which are perpendicular. This can be done as follows:

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Q: If vector a= and vector b=, fınd a x b (the cross product of vector a and vector b). Enter the…

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Q: Find the angle between the vectors and .

A: Given vectors a=-2i-j+3k b=2i+j-3k

Q: 4. Show that a 6 a + %3D

A: Here simply open the squre term and then simplify as a.b=b.a

Q: Determine the dot product for the two vectors: x = ai+bj+ck and y = di+ej+fk where a = 4, b = 5, c =…

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A: This question is related to vectors, We will solve it using given information.

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A: Unit vector in the direction <-2, -5> Unit vector have magnitude 1

Q: If vector a= and vector b=, find a · b (the dot product of vector a and vector b).

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Q: let u = [-3, 4] and v = [2, -5]. Find (a) thecomponent form of the vector and (b) its magnitude. 5v

A: Given that u=-3, 4  and  v=2, -5. This implies that, 5v=5·2, -5=5·2, 5·-5=10, -25 Thus, the…

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Q: Name two vectors parallel to (3, —8).

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Q: Q2. What will be the effect of multiplying the vector by a positive and a negative scalar. Explain…

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