1or Find. Ewo unit Vectors in X-y plane 30 deyree with the vectur that make angle cf V= 3i +4j ?

Q: 2. A cyclist applies a force F with magnitude F = 50N in the same direction as the vector b = 4 j.…

A: We have to find the vectors.

Q: 10. A Plane is flying at 45 degrees north of the x axis at 400 mph. Sketch the situation and find…

A: Drawing the given data , Plane is at "A" From the diagram the x-component is OB…

Q: Using the vectors given below, fin d u v. u = 6i – 3j and v = -15i- 10j

A: Use the formula for the dot product between two vectors and simplify.

Q: In the adjoining figure ū and V are unit vectors. Evaluate the following and input your numerical…

A:

Q: 2. Find the exact angle between vectors a = 3 î - j - 2k – 18 10 b = v – w, wherev = 2î + ĵ + 4kandŵ…

A:

Q: 8. Determine the angle between the two vectors. a) Ã = and B = b) Ả = -2î + 3 + 5k and B = î + 2j…

A:

Q: Find two unit vectors in 2-space that make an angle of 45° with 6i + 5j. NOTE: Enter the exact…

A:

Q: The unit vector perpendicular to the vectors n1= i-j+3k ,n2=2i+j+3k is a vector?

A:

Q: Find the angle 0 between the vectors. IT sin 3 (c0 , sin ) u = ( cos 3 4 4 radians II

A:

Q: at Q6:- If w = xi + yj + zk nonzero vector. Then show that cos a + cos? B + cos? y = 1, where a, B…

A:

Q: Prove That The magnitude of The Vector does not change by turning when you ще The array CSO Sino…

A: To show that the magnitude of a vector does not change when we use the array  to rotate the vector…

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: 2. Let 0 be an angle between vectors w = i +3j and v = (5,2). What is cos 0? What is sin 0? 11…

A:

Q: Find the angle between the vectors a = First find an exact value and then an approximate value in…

A: Angle between two vector smallest angle between them when they are connected tail to tail  Angle…

Q: The vector v is 10 units long and makes an angle of 30° with the positive x-axis. What is the…

A:

Q: a) Draw the function y = sin=1 x (start the angle from –2n to 2t) b) Find a unit vector…

A:

Q: Q6:- A/ Show that the vectors A. (BxC) B.(CxÃ)=C.(AxB), if the vectors A= 31-j+2k B=21+j-k C= i-…

A:

Q: 9. Find all the vectors with the length 6 units, which a = 2į +3j- 2k andh = i - 2j + 3k .…

A:

Q: Suppose that u and v are unit vectors in R°. If the angle between u and v is T/4, then what is the…

A: Given that vectors u and v are unit vectors and angle between vectors u and v is π4.  We know that…

Q: . Find the angle between the vectors å = 4i – 35 + k and b = 21 – k. (First find an exact expression…

A:

Q: A: Given the two equations e" cosv-x-0 and e" sinv-y=0, define u and v as a function of x and y,…

A:

Q: Find cos 0, where 0 is the angle between two vectors a = 2i – 3j + 2k, b = -2i + 2j+6k

A:

Q: 1. Consider the lines x = -1+ 2s 3 – z l1 : 2 and l2 : y= s 4 -2 z = 5+ s а. Find two unit vectors…

A: This is a question of vector Algebra.

Q: Q3. Prove that (only one): a-dy is a unit vector? a- %3! b- L = 6a, - 3a, + 2a, and M = 3a, + 2a, -…

A: Topic- Vector

Q: Calculate the cosine of the angle which the vector 2i+2j-k makes with the positive x-axis

A: Given: find the cosine of the angle which the vector 2i+2j-k makes with positive x axis

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: -8 Find the area of the triangle which is defined by vectors u = and v = -3 Area =

A: Solve the following

Q: The scalar product of two vectors is defined as the product of their magnitudes times the of the…

A: In geometry and physics and its engineering applications, we use two kinds of quantities, scalars,…