(a)
The components of
(a)
Answer to Problem 52P
The components of
Explanation of Solution
The figure 1 shows the vector notation of the following magnitudes.
Write the expression for the vectors
Here,
Conclusion:
Substitute
Therefore, the components of
(b)
The components of
(b)
Answer to Problem 52P
The components of
Explanation of Solution
Write the expression for the vectors
Here,
Conclusion:
Substitute
Therefore, the components of
(c)
The components of
(c)
Answer to Problem 52P
The components of
Explanation of Solution
Write the expression for the vectors
Here,
Conclusion:
Substitute
Therefore, the components of
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Chapter 1 Solutions
Principles of Physics: A Calculus-Based Text
- A vector points from the origin into the second quadrant of the xy plane. What can you conclude about its components? (a) Both components are positive. (b) The x component is positive, and the y component is negative. (c) The x component is negative, and the y component is positive. (d) Both components are negative. (e) More than one answer is possible.arrow_forwardFor what values of a are the vectors A = 2ai − 2j + ak and B = ai + 2aj + 2k perpendicular?arrow_forwardFor the two vectors find A − B and |A – B| component of B along A angle between A and B A × B (A − B) × (A + B)arrow_forward
- Find the angles that vector makes with the and axes.arrow_forwardLei B = 5.00 m at 60.0. Let the vector C have the same magnitude as A and a direction angle greater than that of A by 25.0. Let A B = 30.0 m2 and B C = 35.0 m2. Find the magnitude and direction of A.arrow_forwardA vector A has components Ax = 5.00 m and Ay = 9.00 m. Find (a) the magnitude and (b) the direction of the vector.arrow_forward
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- A vector points from the origin into the second quadrant of the xy plane. What can you conclude about its components? (a) Both components are positive. (b) The x component is positive, and the y component is negative. (c) The x component is negative, and the y component is positive. (d) Both components are negative. (e) More than one answer is possible.arrow_forwardA Three vectors all have the same magnitude. The symbol for the magnitude of each of these vectors is M. The first vector A points in the positive x direction. The second vector B points in the negative y direction. The third vector C points in the positive z direction. These three vectors added together are equal to a fourth vector D. What is the magnitude of the fourth vector?arrow_forwardFind the angle between vectors for (a) D=(-3.0i-4.0j)m and A=(-3.0i+4.0j)m and (b) D=(2.0i+4.0j+K)m and B=(-2.0i+3.0j+2.0K)m .arrow_forward
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