Yes.If the angle between them is 90 degrees.
As we know that A.B=|A| |B| cos (phi).
When phi=90 degree,cos 90=0.
Hence A.B= |A| |B| *0 =0.
Vector's got a crush on Cream's mother named Vanilla
The same sort of reasoning that zero is a number. It ensures that the set of all vectors is closed under addition and that, in turn, allows the generalization of many operations on vectors.Also, the way we got around the concept of having something with zero magnitude also have a direction is pretty cool. We made it up! In abstract algebra it's perfectly OK to constrain a specific algebraic structure with rules (called axioms) that the structure must follow.In your example, the algebraic structure that vectors are in is called a "vector space." One of the axioms that define a vector space is:"An element, 0, called the null vector, exists in a vector space, v, such that v + 0 = vfor all of the vectors in the vector space."Ta Da!! Aren't we clever?
It is not zero malabar.It is Syro Malabar.Belonging to Syrians, who got baptised by St.Thomas.
120 deg
One uses calculus including differential equations and vector calculus in the undergrad courses which is as far as got.
Yes true. But they need not be got cancelled though their resultant is zero.
Vector's got a crush on Cream's mother named Vanilla
The same sort of reasoning that zero is a number. It ensures that the set of all vectors is closed under addition and that, in turn, allows the generalization of many operations on vectors.Also, the way we got around the concept of having something with zero magnitude also have a direction is pretty cool. We made it up! In abstract algebra it's perfectly OK to constrain a specific algebraic structure with rules (called axioms) that the structure must follow.In your example, the algebraic structure that vectors are in is called a "vector space." One of the axioms that define a vector space is:"An element, 0, called the null vector, exists in a vector space, v, such that v + 0 = vfor all of the vectors in the vector space."Ta Da!! Aren't we clever?
To find the magnitude of the resultant vectors when the angle between them is 60 degrees, you can use the formula for finding the resultant of two vectors: magnitude of R = sqrt(A^2 + B^2 + 2AB*cos(theta)), where A and B are the magnitudes of the two vectors and theta is the angle between them. Plug in the values of A, B, and theta to calculate the magnitude of the resultant vector.
Torque is a vector quantity because it has both magnitude and direction, representing a twisting force around an axis. Work is a scalar quantity because it is the product of force and displacement, and only has magnitude, without direction.
Oh, dude, like, technically speaking, depth is not a vector because it's a scalar quantity that only has magnitude, not direction. So, yeah, if you're looking for some vector action, depth ain't gonna cut it. But hey, who needs direction when you've got depth, am I right?
zero
kinda its got its moments
It is not zero malabar.It is Syro Malabar.Belonging to Syrians, who got baptised by St.Thomas.
Vectors have the magnitude and direction, scalars have only magnitude. Addition of vectors A and B will produce a vector C. Such that C=A+B. C is a vector because it will have magnitude and the direction.For an example consider a moving sidewalk such as those in the airports. If such a sidewalk is moving South at 2 miles per hour, its velocity is vector A. If a person walking on that sidewalk at 3 miles per hour also South, that persons velocity is vector B. However, that person will be moving at 2+3=5 miles per hour in relation to a stationary observer or in other words with the velocity of vector C.Further, consider A+B1=C1.If that person is walking North, or the opposite direction of treadmill's (if he or she got on the wrong sidewalk :) ), that person's velocity will be -3 miles per hour that will be vector B1. Thus in relation to a stationary observer that person is moving 2+(-3)=(-1) miles per hour towards South, the velocity of vector C1. That is the person is moving North at 1 mile per hour.
Zero got arrested for stealing the shoes ( that Clyde Livingston was going to donate to the homeless ) out of the display.
Yes, the direction of a vector can be different in different coordinate systems if the basis vectors or axes of those coordinate systems are different. The numerical components of the vector may change, affecting how it is represented, but the vector itself remains unchanged.