How long is the shadow cast by a 540-foot tower when the sun's rays follow the vector [6,10,-27]? Also, at what angle do the rays of the sun strike the ground?

Q: Find the component form of v given a magni- tude of 3 and v in the direction of 3 î+ 4ĵ. 1. (9, 12)…

A: Multiply magnitude and unit vector for components

Q: What do coordinates mean?

A: Coordinates are set of points that defines exact position of a point in XY-plane.

Q: An airplane takes of heading east at a speed of 459 miles per hour at an angle of 15 degrees with…

A: Given that: speed of the plane= speed of 459 miles per hour The horizontal component is parallel…

Q: a tan-" u du = 3u² + 1)tan-" u - +C 55.

A: To prove that, ------ (1)

Q: A parallelogram is determined by the vectors = (-2, 5) and 7= (3, 2). Determine the angle between…

A:

Q: Find the unit vector e, if v = (-4, 3) ev = <

A: here we have to find the unit vector.

Q: Give two vectors A=4i+3j, B=5i-2j Find its values and the direction of vector C, which is 2A-B

A: Vector addition

Q: r(t) = (x(t), y(t), z(t)) where x(t) = – 4t2 – 5t – 3 y(t) = 5t² + 5t +3 z(t) = – 5t? - | '(t) =…

A: Here, we need to find the binormal vector B. We are given that r(t)=&lt;x(t), y(t), z(t)&gt; where…

Q: A roller coaster travels 350 feet horizontally and then travels 130 feet at an angle of 60° from the…

A:

Q: If two nonzero vectors are perpendicular, then the angle between them is 90°. Also, the cosine of…

A: Given ,  If two nonzero vectors are perpendicular, then the angle between them is 90°. Also, the…

Q: For each point given in rectangular coordinates, write three different polar representations of the…

A:

Q: Find the vector having length v=12 and direction theta 60 degrees

A:

Q: Find the angle θ between v = (3, 6, 2) and w = (4, 2, 4).

A: Given, v = (3, 6, 2) w = (4, 2, 4)

Q: 4/2 cis(-30°) 2/2 cis(-60°)

A:

Q: Prove that cosine has the Direct Substitution Property.

A: We will follows the strategy of the previous exercise. its given to us that…

Q: 1. Use components to find the magnitude and direction of a) Ã + B; b) Ã – B; c) B – Ã. Ã (2.80 cm)…

A: a) The magnitude of given vectors are A→=2.80cmB→=1.90cm The X and Y components of  A→ are…

Q: what would point reflection through the origin b? and be

A:

Q: Use with Q1-Q (S,3) (-2,) (1,1)

A:

Q: Find the acute angle formed by two diagonals of a cube. (vectors) show complete solution.

A: It has been assumed that the length of each side of the cube is a unit.

Q: A vector is a ray that tells what direction True or false?

A: Given: A vector is a ray that tells direction. To determine: Whether the given statement is true or…

Q: A=2i+j+K Beitje ok Make twe Vectors Angle af magnitude @30 345

A: The formula to find the angle between two vectors is: θ=cos-1A·B|A||B|…

Q: Find the unit vector in the direction of

A:

Q: 9,11 Simplify: Vr°y1-3

A: We have to simplify the given expression   The expression is x9y11z3