BackA = (4.0 m)i + (3.0 m)j and B = (−13.0 m)i + (7.0 m)j. You add them together to produce another vector C.
(a) Express this new vector C in unit-vector notation.
(b) What are the magnitude and direction of C?
In each case, find the x- and y- components of vector A: A = 11.2j - 9.91i
Given two vectors A = -2i + 3j + 4k and B = 3.00î + 1.00ĵ − 3.00k, find the magnitude of each vector.
You are given two vectors A = -3i + 6j and B = 7i + 2j. Let Counterclockwise angles be positive. What angle does A make with the +x-axis?
Given two vectors A = 4i + 7j and B = 5i - 2j, find the magnitude of each vector.
Trevon drives with velocity v1 = (55î - 10ĵ) mph for 1.0 h, then v2 = (20î ＋ 50ĵ) mph for 2.0 h. What is Trevon's displacement? Write your answer in component form using unit vectors.
Let E = 2i + 3j and F = 2i - 2j. Find the magnitude of -E - 2F.
What are the x- and y-components of vector E shown in FIGURE EX3.3 in terms of the angle θ and the magnitude E?
A cannonball leaves the barrel with velocity v = (75î ＋ 45ĵ). At what angle is the barrel tilted above horizontal?
The position of a particle as a function of time is given by = ( 5.0î ＋4.0ĵ )t² m where t is in seconds. What is the particle's speed at t = 0, 2, and 5 s?
The position of a particle as a function of time is given by = ( 5.0î ＋4.0ĵ )t² m where t is in seconds. Find an expression for the particle's velocity as a function of time.
The position of a particle as a function of time is given by = ( 5.0î ＋4.0ĵ )t² m where t is in seconds. What is the particle's distance from the origin at t = 0, 2, and 5 s?
Let E = 2i + 3j and F = 2i - 2j. Find the magnitude of E and F.
Find a vector that points in the same direction as the vector ( î ＋ ĵ ) and whose magnitude is 1.
(II) Let V₁ (→ above V₁) = ― 6.0 î + 8.0 ĵ and V₂ (→ above V₂) = ― 4.5 î ― 5.0 ĵ. Determine the magnitude and direction of
(c) V₁ (→ above V₁) + V₂ (→ above V₂), and