Explain how the rectangular components of a 2-dimensional vector, convey the complete information about the vector.(i.e its magnitude and direction.)

Chose the correct option If a vector has magnitude5, its components have magnitude

Find a vector, which is parallel to vec v = vec i - 2 vec j and has a magnitude 10.

A line segment has length 63 and direction ratios are 3, -2, 6. The components of the line vector are

A particle moving parallel to x-axis as shown in fig. such that at all instant the y-axis component of its position vector is constant and is equal to 'b'. Find the angular velocity of the particle about the origin when its radius vector makes angle theta from the axis.

A particle moves in the x-y plane under the action of a force vec(F) such that the components of its linear momentum vec(P) at any time t are p_(x) = cos t and p_(y) = 3 sin t. What is the magnitude of the vector vec(F) ?

Select the appropriate options and complete the following paragraph. (spectrum, dispersion, grey, green, maximum, minimum, electromagnetic, refraction, optical, intense) Light is an ___ radiation. The process of separation of light into its component colours while passing through a medium is called as of light. The band of coloured components of a sunlight beam is called its ___ Various colours appearing in the spectrum are of the order as violet, indigo, blue, yellow, orange and red. Different colours have different wavelengths which are visible to our eyes i.e., between 400 nm and 700 nm. Red light has ____ wavelength whereas violet light has ____ wavelength.