Resolve a given vector into two rectangular (or orthogonal) components(i.e. in a plane)

Resolve a given vector into three rectangular components (in space i.e. In three dimensions)

True or False Chloroplast is differentiated into two structural components i.e. grana and stroma.

Show that the rectangular components of displacement vectors are the differences of the rectangular components of the position vector at two instants.

Show that angular momentum is due to transverse component and does not depend on the radial component i.e. L = rp_theta

If the resultant of two forces is equal in magnitude to one of the components and perpendicular to it direction, find the other components using the vector method.

Let vec u be a vector on rectangular coordinate system with sloping angle 60^0dot Suppose that | vec u- hat i| is geometric mean of | vec u|a n d| vec u-2 hat i|,w h e r e hat i is the unit vector along the x-axis. Then find the value of (sqrt(2)+1)| vec u|dot

Let AB be a vector in two dimensional plane with the magnitude 4 units and making an angle of 30^(@) with X-axis and lying in the first quadrant. Find the components of AB along the two axes off coordinates. Hence, represent AB in terms of unit vectors hati and hatj .

Statement-I The number of vectors of unit length and perpendicular to both the vectors hat(i)+hat(j) and hat(j)+hat(k) is zero. Statement-II a and b are two non-zero and non-parallel vectors it is true that axxb is perpendicular to the plane containing a and b

Consider three vectors p=i+j+k, q=2i+4j-k and r=i+j+3k . If p, q and r denotes the position vector of three non-collinear points, then the equation of the plane containing these points is