Consider the two vectors C⃗→ and D⃗→ defined as follows: C⃗=(2.35,−4.27) and D⃗=(−1.30,−2.21) What is the resultant vector R⃗=C⃗+D⃗? Give the x and y components of R⃗→ separated by a comma. Rx= Ry=

▼ Part A What is the angle between vectors A and B if à = 2 î – 5 ĵ and B = −5 î + 7 ĵ? Express your answer in degrees. ► View Available Hint(s) 0 = Submit Part B 0 = 197| ΑΣΦ 6 What is the angle between vectors A and B if A = 2 î+43 and B = 8 î - 4 ĵ? Express your answer in degrees. ► View Available Hint(s) Submit ? || ΑΣΦ ? 0

The figure shows three vectors. Vector A→ has a length of 31.0, vector B→ has a length of 67.0, and vector  C→ has a length of 22.0. Find each magnitude and direction.   |A→×B→|= ?     direction: ?   |C→×B→|= ?

The vector B⃗ is added to a vector C⃗ given as C⃗ = −3i ^ + j ^. The resultant vector obtained as a result of this process is R⃗ = B⃗ + C⃗. The resultant vector is in the positive y direction and the size of this vector is equal to the size of the B⃗ vector (| R⃗ | = | B⃗ |). According to what is given; a-) What is the size of the B⃗ vector? b-) What is the angle between the vector B⃗ and the vector C⃗?

Question: True or False. Why? A vector space must contain at least two vectors. My Comment: I'm confused why this is a question because I believe it to be False. If I draw one vector on a graph with the coordinates (3,5), it is taking up a vector space on an xy coordinate system. Is that incorrect?

The Scalar Product The vectors A andB are given by A = 31 + 1j and B = -1î + 1j. (a) Determine the scalar product A - B. SOLUTION Conceptualize There is no physical system to imagine here. Rather, it is purely a mathematical exercise involving two (vectors Categorize Because we have a definition for the scalar product, we categorize this example as a substitution vy problem. Substitute the specific vector expressions for A and B: A-B = (31 + 1j) - (-1î + 1j) = [3i - (-1)i - [31 - 15 - 13 - (-1) + [1j - 15] The same result is obtained when we use the equation A -B = AB, + A8, + A,B, directly, where A, = 3, A, = 1, B, = -1 and 8, = 1. (b) Find the angle e between A and B. SOLUTION Evaluate the magnitudes of A and B using the Pythagorean theorem: A = VA,? + A, = B = V82 + B 2 = Use the equation A - B = AB cos(e) and the result from part (a) to find the angle (in degrees). cos(e) = AB EXERCISE As a particle moves from the origin to (7i + 5j) m, it is acted upon by a force given by (7î +…

M Hello, i need help understanding how do you find the sin and cosine of E1 x and y along with E2 x and y. This problem is complete that im showing here please explain with this problem how you got the sin and cosine to start the problem for vector addition!!!

What is the dot product of two vectors A = 2x + 4 y + 7z and B = -3x + 8y - 2 z where it is understood that A and B are 3 dimensional vectors, and x, y, and z are vectors of length 1 along the x, y, and z axes.      A scalar +12     A scalar +16     A vector perpendicular to both A and B     A vector 6x +32y -14z

Vector A = 2 +33 and vector B = 51-43 +3k. Part A What is the cross product Ax B? Find the -component. Express your answer as integer ► View Available Hint(s) A × B]x = Submit Part B IVE ΑΣΦ α B Y V Ax By = A Submit T P Σ Previous Answers Φ Ψ Ω Find the y-component. Express your answer as integer ▸ View Available Hint(s) € n 6 T φ - ΑΣΦ ħ 0 χ E • * Incorrect; Try Again: 5 attempts remaining A component of a cross product does not equal the product of the respective vector components. You may need to review The Vector Cross Product. You may want to review Hint 1. How to approach the problem. K y @ 2 μ ? ?