If a=2 i+3 j+k, b=i-3 j-5 k and c=3 i-4 k then match the items of list I with those of list II. List I List II (a) Unit vector in the directionopposite to that of {a}-{b} is (i) 5 {i}+3 {j}-3 {k} (b) If {AB}={a}, {BC}={b} then{CA}= (ii) 2 {i}-3/3 {k} (c) If {a}, {b}, {c} are the positionvectors of vertices oftriangle then, its centroid is (iii) -3 {i}+4 {k} (d) If {d} is a vector ifmagnitude 2 {14} andparallel to vector {a}, then{b}-{d}= (iv) -{{i}}{{73}}-{6{j}}{{73}}-{6{k}}{{73}} (v) {3}{{43}}{i}+{5}{{43}}{j}-{3}{{43}}{k}

Question

If a=2 i+3 j+k, b=i-3 j-5 k and c=3 i-4 k then match the items of list I with those of list II.    List I  List II    (a)  Unit vector in the directionopposite to that of {a}-{b} is  (i)  5 {i}+3 {j}-3 {k}  (b)  If {AB}={a}, {BC}={b} then{CA}=  (ii)  2 {i}-3/3 {k}  (c)  If {a}, {b}, {c} are the positionvectors of vertices oftriangle then, its centroid is  (iii)  -3 {i}+4 {k}  (d)  If {d} is a vector ifmagnitude 2 {14} andparallel to vector {a}, then{b}-{d}=  (iv)  -{{i}}{{73}}-{6{j}}{{73}}-{6{k}}{{73}}      (v)  {3}{{43}}{i}+{5}{{43}}{j}-{3}{{43}}{k}

Examsnet · Accepted Answer

Correct Answer is : (a)-(iv), (b)-(iii), (c)-(ii), (d)-(i)

	List I	List II
(a)	Unit vector in the directionopposite to that of $\overline{a}-\overline{b}$ is	(i)	$5 \overline{i}+3 \overline{j}-3 \overline{k}$
(b)	If $\overline{AB}=\overline{a}, \overline{BC}=\overline{b}$ then $\overline{CA}=$	(ii)	$2 \overline{i}-\frac{3}{3} \overline{k}$
(c)	If $\overline{a}, \overline{b}, \overline{c}$ are the positionvectors of vertices oftriangle then, its centroid is	(iii)	$-3 \overline{i}+4 \overline{k}$
(d)	If $\overline{d}$ is a vector ifmagnitude $2 \sqrt{14}$ andparallel to vector $\overline{a},$ then $\overline{b}-\overline{d}=$	(iv)	$-\frac{\overline{i}}{\sqrt{73}}-\frac{6\overline{j}}{\sqrt{73}}-\frac{6\overline{k}}{\sqrt{73}}$
		(v)	$\frac{3}{\sqrt{43}}\overline{i}+\frac{5}{\sqrt{43}}\overline{j}-\frac{3}{\sqrt{43}}\overline{k}$

TS EAMCET 4 May 2018 Shift 2 Solved Paper