Q 1 : Find the condition that the vectors a = ki + 3j and b = 4i+kj, (k not equal to 0) are parallel. k = 0 k^{2} = 12 k = 6
Q 2 : Find the unit vector in the direction of P(1,2,3) towards Q(4,5,6). 6i+5j+2k 8j-2k (i+j+k)/Ö 3
Q 3 : Find the vector in the direction of the vector -i+2j+2k that has magnitude 7. -3i+2j 7(-i+2j+2k)/3 i-j+k
Q 4 : Find the vector with initial point P(6,-2) and terminal point Q(4,-8). -2i+10j 6i-9j 8i+2j
Q 5 : Find a unit vector in the direction from P(3,2) towards Q(5,6). i/Ö 5 + 2j/Ö 5 4i+5 2i+3
Q 6 : Find a unit vector parallel to the sum of vectors a = 2i+4j-5k, b = i+2j+3k 8i+4j-3k 3/7i + 6/7j - 2/7 k 2-i8
Q 7 : Find the vector joining the initial point P(-4,2) and terminal point Q(0,-4) 8i-6j 4i+6j 4i-6j
Q 8 : If P = 2,4,7 and P_{2} = (-4, -1, 5) then find the magnitude of vector P_{1} P_{2} . 3i+6jÖ 65 6i+5j
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