Vector F1 = 625 N makes an angle of 2700 when rotated counterclockwise from the +x axis. Vector F2 = 875 N makes a 1200 angle from Vector F₁ when rotated counterclockwise. What is the direction of the vector needed to balance the two forces? O 170° O-31⁰ 0.0⁰ O-32° O 166⁰ O-180° O 270⁰ O 1860

Q: One of the following is the vector product of vectors A = 4i + 6j + 8k and B = 6i + 8j – 10k where…

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Q: What is the angle between vector Å = 5i + 2j + 9k with z-axis? 80° 45.80 30.9° 61.5°

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Q: The figure shows three vectors. Vector ?⃗ A→ has a length of 31.031.0, vector ?⃗ B→ has a length of…

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Q: What angle OB, where 0° < OB < 360°, does B make with the +x-axis? Express your answer in degrees.

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Q: What is the sum of the following four vectors: a. In unit vector notation b. as a magnitude and an…

A: The vectors are given as: A→=(3 m)i+(5 m)jB→=[(3 m)cos178°]i+[(3 m)sin178°]j=(−2.998 m)i+(0.1047…

Q: Three force vectors, F1, F2 and F3, have magnitudes of 8N, 12 N and 15 N respectively. The angles…

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Q: Consider the following vectors: A = 4.6i + 1.4j+ 3.4k B = -6.5i + 7.lj + 10.2k Part (a) What is the…

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Q: Two vectors are given by (A= 3i+A, j) and (B= 2i+4j). if the angle between them is 90° , then the…

A: Here the given angle is 90°

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Q: Given two vectors, Land D where L=275ⅈ-64j and D=161.7ⅈ+44j what is the resultant, R, of these two…

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Q: Two vectors, A and B are defined as follows:   A lies 20° above the x-axis, and has a magnitude of…

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Q: The force F has a magnitude of 470 N. Express F as a vector in terms of the unit vectors i and j.…

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Q: Select the answer that expresses F as a Cartesian Vector. (83.21 + 118.8j) N O (118.81 +83.2j) N O…

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Q: The vector in the figure has a length of 4.0 units and makes a 30° angle with respect to the y-axis.…

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Q: Find angle between two unit vectors A and B. A = 10i-3j-15k; B = 13i-5j+3k

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Newton's First Law of Motion

If a very smooth ball is rolled down an inclined surface with zero friction, the ball will continue to roll indefinitely for an infinite time, in an attempt to reach to the same height on the opposite hill!