Given vectors A = 2a, + 4a, + 10a, and B = -5a, + a, - 3a,, find (a) A + B at P(0, 2, -5) (b) The angle between A and B at P (c) The scalar component of A along B at P

Q: a= b=

A:

Q: Find the resultant force of two vectors F = 5î + 2j and F = -2î - 8j. Graph the two vectors as well…

A:

Q: Compute the resultant of the position vectors for the points (2,4,3) and (1,-5,2) of a rectangular…

A: Question- Compute the resultant of the position vectors for the points (2,4,3) and (1,-5,2) of a…

Q: (b) Find the angle between the vectors u and v if u = (2,3,5) and v = (1, -4,3) in %3D R3.

A:

Q: (3) For what value of a the vectors: a = 51 +6j-k and b=2i+(3+a)j- ak A. B = AB cos 90º =…

A:

Q: Sketch 2v, -w, v+w, and 2v-w for the vectors in Figure 24. 5 y 4 3 v = (2,3) 2 1 w = (4, 1)

A:

Q: Find the sine of the angle between vectors u = (-3, 2,6) and v = (3,2,6) by using the cross-product.

A: Given: The vectors u =(-3, 2, 6) and v=(3,2,6) Find : The sine of the angle between the vectors u…

Q: For what value of (a) will the vectors V=-4i-8j+ak, U=2i+4j-5k are parallel?

A:

Q: A river is flowing in a straight line from the point A(1,3) to the point B(5, 1). A town is located…

A:

Q: 2. Express the following vectors in rectangular coordinates: a- A rho sin(phi)a_rho+rho…

A: Base vectors for cylindrical co-ordinates are:Base vectors for spherical co-ordinates are:

Q: : (2,1,2). 1- Find the unit vectors u1 and u2 in the directions of v = (1,3) and w = Find unit…

A: If we have a vector u=a,b,c, then the unit vector that is in the direction of vector u is the vector…

Q: (a) 3u7 u3 (b) (c) u2 (-2u5) (d) 2u2 : (-u5)

A:

Q: If a, b and c are three non-coplanar vectors, then find the value of a.(bxc) b.(cxa) c.(bxa) +…

A: Use the properties of vector box product as follows: a→.(b→×c→)=[a→ b→ c→]=[b→ c→ a→]=[c→ a→…

Q: The vectors A and B are given by A = 2î + 3j and B = - î + 2j. (A) Determine the scalar product A ·…

A: Given vectors areA→=2i∧+3j∧ and B→=-i∧+2j∧We have to finda  the scalar product A→.B→bangle θ…

Magnitude

A vector is an element with both direction and magnitude. A vector is represented using an arrow, where the arrow represents the direction of the vector and its length is represented using the magnitude. The set of vectors in space is known as vector space. The vectors can be added, subtracted, multiplied, and divided in a vector space. The image below shows a vector AB.