Determine the two unit vectors that are orthogonal to i = (1,2). Which two unit vectors are parallel to v?

Let a, b, c be three constant vectors drawn from the origin to the points A, B C. What is the distance from the origin to the plane defined by the points A, B C? What is the area of the triangle ABC?

Let us name three perpendicular directions as right, up, and toward you as you might name them when you are facing a television screen that lies in a vertical plane. Unit vectors for these directions are r, u, and t, respectively. Consider the quantity (3u2t). (i) Is the magnitude of this vector (a) 6, (b) 3, (c) 2, or (d) 0? (ii) Is the direction of this vector (a) down, (b) toward you, (c) up, (d) away from you, or (e) left?

Vectors A and B are two orthogonal vectors in the xy -plane and they have identical magnitudes. If A=3.0 i+4.0 j , find B .

The polar coordinates of a point are 4/3and 5.50 m. What are its Cartesian coordinates?

Vectors ?⃗ and ?⃗ lie in the ??‑plane. VVectors ?⃗ and ?⃗ lie in the ??‑plane. Vector ?⃗ has a magnitude of 11.6 and is at an angle of 155.5∘ counterclockwise from the +?‑axis. Vector ?⃗ has a magnitude of 28.7 and is 200.3∘ from the +? ‑axis. Resolve ?⃗ and ?⃗ into components, and express using ??? unit vectors, ?⃗ =???+???+??? ?⃗ =???+???+??? where ??, ??, ?? and ??, ??, and ?? are the calculated values of the ?‑, ?‑, and ?‑components of vectors ?⃗ and ?⃗ , respectively. Identify the unit vector for ?⃗ ×?⃗ .

Q(2) Consider the two vectors A= 31 – 2j and B = 2i – 3j. Calculate the angle between the two vectors A) 146° B) 47.7° C) 70° D) 22.6° O 1. D O 2. B O 3. C O 4. A

Let /be the line through the point with coordinates (0,1,0) in the direction of the vector their coordinates) lie on ?? a. (2,3,0) O b. (0, -1,0) O c. (1, 1, -1) O d. (1, 2,-1) 1 1 -1 Which of the following points (given by

a) Express the point P (−2, 6, 3) in cylindrical and spherical coordinates b) If A = r sin cosa, − cos 20 sin þa, + tan- Înra at P(2,π/2,3π/2). Determine - the vector component of A that is parallel to az (express your answer in spherical coordinates)

All please with det