1) Suppose a and b are two vectors that start from the same initial point. If |a| = 8 and |b| = 11, and they form a triangle with an area 32 square units: a. What is the angle between a and b? b. What is the scalar projection of a onto b? c. What is the vector projection of a onto b?

Q: 43. Explain the differences between vectors and scalars. Provide an example of each. 44. Copy the…

A:

Q: Determine the resultant of two vectors with magnitudes of 50 and 30 and an angle of 110 degrees…

A: let  A=50 & B=30, θ=1100 We know resultant between two vectors A→ & B→ when angle between…

Q: Let å and b are vectors such that the angle between them (when joined tail to tail) is 0°. Describe…

A:

Q: a. Express the unit normal vector (n) to the plane of the vectors a and b in terms of their…

A:

Q: Y. mph x, mph -140 40 mph a) Find the vector 2 in rectunguler form by adding vectors A and B. b)…

A: The rectangular form of complex number is given by z=x+iy where x, y belongs to real numbers. The…

Q: 5. Determine the resultant of two vectors with magnitudes of 30 and 70 units and an angle of 45…

A:

Q: 1. Let = =(3, 2, 1) and 5 = (-4,3₁-1) e) Evaluate (3a+46) (3a - 4b). f) Find the angle between a and…

A:

Q: Given the three vectors å ,b and ở in 3D. The following question is t termine if operation involving…

A: We can solve this as follows:

Q: 2. A pipe is welded on two ends with the following coordinates, (14, 45) in and (75, 12) in The…

A: Solution:

Q: Prove that for all divides natural numbers nt 7^-2^.

A:

Q: 5.) Write the vector u=i+3j as the sum of two orthogonal vectors, one of which is in the direction…

A: Given vectors are: u=i+3jv=2i+5j

Q: It is possible for two nonzero vectors to have a dot product of 0. True False

A: Let u and v be two nonzero vectors

Q: 4. Which vector(s) below is perpendicular to ū = 2i– 3j? A. V = 27+ 25 B. W = 31+ 25 C. Ã = 5ï – 75…

A: Given: The vector U→=2i→-3j→, To determine: Which of the following vectors are parallel to the given…

Q: 3. Consider the following vectors: (2,3) & (-5,1) a. Find the dot product between them b. Find the…

A: We have to find the dot product and angle between two vectors.

Q: Consider vectors u = (4, 1) and V = (-1, 3). a. Find the linear combination W = 2u - 3v. b. Find the…

A:

Q: If A-(rsinOcos -cos2Osin

A: Given, At the point , we have determine the vector component of that is parallel to vector .

Q: a. Find the Euclidean distance between u → and v and the cosine of the angle between those vectors.…

A: As per our guideline, part a solved. Please repost the other questions as separate question.

Q: 3. Find the length of the following vector : ā = 4i +2j – 4k .

A: Given vector a = 4i + 2j - 4k We  have to find the length of the vector

Q: Ifv+w= and v = [1]. C W= , compute and draw the vectors v and w.

A:

Q: 3. Find the magnitude, ||||, of each of the following vectors: a. = -51 + 12j b. = -i- j

A:

Q: 3. Fill in the right column of the chart with Positive, Negative, O or Cannot be determined. Be sure…

A:

Q: 18. A child throws a ball with a speed of 5 feet per second at an angle of 54° with the horizontal.…

A: Given Speed of a ball =5 feet per…

Q: For what value(s) of a is the angle between the vectors ⟨4, 1+ 2a, 4⟩ and ⟨1, 4, 4 − a⟩ obtuse?

A: