Find a unit vector along the vector `oversetrarrb =3 overset^^i -overset^^j + overset^^k`

Find aunit vector along the sum of the vectors oversetrarra = overset^^i-3overset^^k "and"oversetrarrb =2overset^^i+5overset^^j-3overset^^k?

Find the projection of the vector oversetrarra =2overset^^i+overset^^j -3 overset^^k on the vector. oversetrarrb =-overset^^i+3overset^^j-overset^^k

Find the unit vector in the direction of the vector oversetrarra=overset^^i+overset^^j+2overset^^k .

Find a vector along oversetrarra = 2 overset^^i-overset^^j + 3overset^^k that has magnitude 5 ?

Write the direction ratios and direction cosines of the vector oversetrarra=2overset^^i+3overset^^j-4overset^^k.

Write the direction ratios of the vector oversetrarr a=overset^^i+overset^^(2j)-overset^^k and calculate its direction cosines ?

Find the angle between the vectors " " oversetrarra=overset^^i+overset^^j-overset^^k " and "oversetrarrb=overset^^i-overset^^j+overset^^k

Find the sum of the vectors oversetrarra =overset^^i-2overset^^j+overset^^k,oversetrarrb=-2overset^^i+4overset^^j+5overset^^k " and " oversetrarrc=overset^^i-6overset^^j-7overset^^k

The scalar product of the vector overset^^i+overset^^j+overset^^k with a unit vector along the sum of the vectors 2overset^^i+4overset^^j-5overset^^k"and" lambdaoverset^^i+2overset^^j+3overset^^k is equal to I.Find the value of lambda .

Show that the points A,B and C with position vectors oversetrarra =3overset^^i-4overset^^j-4overset^^k," " oversetrarrb= 2overset^^i-overset^^j+overset^^k " and " oversetrarrc=overset^^i-3overset^^j-5overset^^k respectively form the vertices of a right angled triangle.