If a of magnitude 50 is collinear with the vector \[\mathbf{b}=6\,\mathbf{i}-8\,\mathbf{j}-\frac{15\,\mathbf{k}}{2},\] and makes an acute angle with the positive direction of z-axis, then the vector a is equal to [Pb. CET 2004]

\[16\,\mathbf{i}-16\,\mathbf{j}-15\,\mathbf{k}\]

\[24\,\mathbf{i}-32\,\mathbf{j}+30\,\mathbf{k}\]

\[-24\,\mathbf{i}+32\,\mathbf{j}+30\,\mathbf{k}\]

\[-12\,\mathbf{i}+16\,\mathbf{j}-30\,\mathbf{k}\]

If a of magnitude 50 is collinear with the vector \[\mathbf{b}=6\,\mat

1.	If a of magnitude 50 is collinear with the vector \[\mathbf{b}=6\,\mathbf{i}-8\,\mathbf{j}-\frac{15\,\mathbf{k}}{2},\] and makes an acute angle with the positive direction of z-axis, then the vector a is equal to [Pb. CET 2004]
A.	\[24\,\mathbf{i}-32\,\mathbf{j}+30\,\mathbf{k}\]
B.	\[-24\,\mathbf{i}+32\,\mathbf{j}+30\,\mathbf{k}\]
C.	\[16\,\mathbf{i}-16\,\mathbf{j}-15\,\mathbf{k}\]
D.	\[-12\,\mathbf{i}+16\,\mathbf{j}-30\,\mathbf{k}\]
Answer» C. \[16\,\mathbf{i}-16\,\mathbf{j}-15\,\mathbf{k}\]

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If a of magnitude 50 is collinear with the vector \[\mathbf{b}=6\,\mathbf{i}-8\,\mathbf{j}-\frac{15\,\mathbf{k}}{2},\] and makes an acute angle with the positive direction of z-axis, then the vector a is equal to [Pb. CET 2004]

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