12. Find the vector with length 5 and direction angles a = B = 120°, y = 135°. = 60°,

Q: Find the horizontal and vertical components of the vector v that has magnitude |v|=2 and direction…

A: Given, magntude of the vector =v =  2 and direction  β (angle with the +x axis)=45o  We have to find…

Q: What is the vector equation of the line team C must follow if they wish to meet team A at right…

A: To find the vector equation of the line team C must follow if they wish to meet the team A at Right…

Q: nd the length of the vector fo raight line joining the points 5,2). Also find the angle made

A: Given, The vector is formed by the straight line joining the points 1,3 and5,2. The length is to be…

Q: Find the angle mesure between the two vectors u and v where : u=-2i + 2j + 4k, v=3i + 8j + 2k write…

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Q: A straight line has vector equation given by r=(1-A)i+(3+2A)j.How far is this line from the origin?

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Q: If vector a= and vector b=, find the angle between vectors a and b, rounded to the nearest degree.

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Q: write the vector v in terms of i and j whose magnitude lvl and direction angle θ are given as lvl =…

A: The magnitude lvl and direction angle θ are given as lvl = 10,  θ = 330° We need to write the…

Q: If the magnitude of vector x is 10, y is 21 and magnitude of x-y is 17 what would x+y be?

A: Use the property of magnitudes to solve this problem.

Q: write the vector v in terms of i and j whose magnitude lvl and direction angle θ are given as lvl =…

A: For vector v, having magnitude v and direction angle θ can be represented in form of v = v cosθi^ +…

Q: Find a vector, AB , with magnitude 4 in the direction of PQ where P and Q have coordinate (5,0, 8)…

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Q: The vector with length 4 and direction k is Di+Di+ j+ k.

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Q: what is the magnitude of the vector

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Q: Let a = (2, – 3) and b (0, – 3). - - Find the angle between the vector, in degrees.

A: Given a→=<2,-3>           b→=<0,-3>

Q: When the angle between vectors u and v is between 0° and 90°: || You can't tell O t • 0

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Q: The angle between two unit vectors e and f is π/6 . What is the length of e × f?

A: The angle between two unit vectors e and f is π6.

Q: If θ is the angle between two nonzero vectors u and v, then cos θ = ________.

A: If θ is the angle between two nonzero vectors u and v, then    cos (θ) = (u.v)/(||u|| ||v||)

Q: Use the formulas that we went over in the lecture to convert the following vector into "rectangular…

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Q: The angle formed by placing a vector of length 12 tail-to-tail with the vector [0,2] is 80 degrees.…

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Q: (1) Let 0 be the angle between vectors A and B, find the value of the angle 0 when

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Q: Let b be the vector of length 35 that when drawn in standard position makes a 290° angle with the…

A: Given : length of vector b=35 ⇒b=35 Also, b makes angle 290° with positive x axis. So, b=b1i+b2j,…

Q: The vector which has length 2 and direction opposite to u?

A: We have the given vector as u=-122   We have to find a vector that has length 2 and direction…

Q: Solve for the projection of the vector P = (3,4, 4) onto Q = (0, –2, –5). What is the exact measure…

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Q: s given 2 vector A and B of non zero magnitude, what is the angle between them if A.B as value -AB/2

A: The dot product between two vectors, X and Y is defined by the formula, X·Y=XYcosθ, where, θ is the…

Q: The vector having (magnitude) only is called unit vector FO

A: GivenStatement:The vector having only magnitude is called unit vectorTo determineGiven statement is…

Q: what is the vector angle formula?

A: Let the two vectors as: u→=a1i^+b1j^+c1k^v→=a2i^+b2j^+c2k^

Q: A person swims 6.4 meters per second north while being pushed by a current moving west at 2.1 meters…

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Q: 3. if the position function vector r = ti +6tj , find the direction of the vector at time 1 sec جد…

A: The position function vector is,  r=t3i + 6tj To determine the direction of the vector at time t = 1…

Q: Show that the vector v = ai + bj is perpendicular to the line

A: GivenVector V = ai + bj and the line ax + by + c

Q: mine the angle between vectors M = (1

A: Here we vector M=1,2,5 and vector T=-2,-3,3

Q: If the wind is blowing at 12 mi/hr in the direction N40°W, express its velocity as a vector v.

A: Given the wind is blowing at v=12 mi/hr in the direction of N40°W as shown below:

Q: wich whose velocty vector is 301, assuming the the units Which is travelling faster, a car whese…

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Q: A bird is flying south at a rate of 45 miles per hour while being pushed east by wind with a speed…

A: Given- Bird's flying rate in the south=45miles/hrBird pushed by wind in the east=12 miles/hrWe need…

Q: Suppose that u and v are vectors in R' both of length 2V2 v is also? v2. Thenllu + v|| and that the…

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Q: What is the position vector (expressed in RCS), determined by point B(2,30 deg, 3)?

A: Definition: The point A(a,b,c) has a position vector OA where a is the x-component, b is the…

Q: Let ā = (4, 3) and b = (– 4, 4). Find the angle between the vector, in degrees.

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Q: The angle between the vectors ū = i + 2j – 4k and w = 2î + 3j + 5k is obtuse.

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Q: 1. Find the angle that the vector V = makes with the positive x axis.

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Q: Find the angle between the vectors v and w v = (−2, 3, 1)T , w = (1, 2, 4)T

A: Consider the given vectors: Here the objective is to find the angle between vector v and w.

Q: The vector from the origin to point A is given as 6ax – 2a, – 4a-, and t unit vector directed from…

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Q: To make it work two signal receivers are placed at fixed locations. The first one at origin point A…

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Q: 2. Give the components for the velocity vector of a boat that is moving 50 km/hr toward the…

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Q: The vector u has length 11 and points at an angle of 20° The vector v has length 18 and points at an…

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Q: Is the vector projection of B onto A, perpendicular to B? Is the angle between projAB and the vector…

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Q: Find a vector v whose magnitude is 6 and whose component in tho i direction is twico the component…

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Q: What is the magnitude of the Vector PQ. P=(1,11) and Q= (9,3)

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Q: Let Q be a point in R°. Consider a line passing through P with direction vector d.What is the…

A: We are asked to find the distance from a point Q in ℝ3 to the line which passes through a point P…

Q: Let Q be a point in R°. Consider a line passing through P with direction vector d. What is the…

A: Please check image in step 2

Q: 4. Find a unit vector that is perpendicular (5, 6). to

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